bib.bib

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@ARTICLE{Arc1,
  AUTHOR = {Arcozzi, Nicola},
  CODEN = {AKMTAJ},
  FJOURNAL = {Arkiv f\"or Matematik},
  ISSN = {0004-2080},
  JOURNAL = {Ark. Mat.},
  MRCLASS = {42B20 (43A75 44A15 60G44)},
  MRNUMBER = {MR1650585 (2000a:42025)},
  MRREVIEWER = {J. Horv{\'a}th},
  NUMBER = {2},
  PAGES = {201--231},
  TITLE = {Riesz transforms on compact {L}ie groups, spheres and {G}auss space},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1650585},
  VOLUME = {36},
  YEAR = {1998}
}

@INCOLLECTION{Arc2,
  ADDRESS = {Uppsala},
  AUTHOR = {Arcozzi, Nicola},
  BOOKTITLE = {Complex analysis and differential equations (Uppsala, 1997)},
  MRCLASS = {30G20 (31B05 35B45 60G46)},
  MRNUMBER = {MR1758915 (2001m:30058)},
  PAGES = {61--68},
  PUBLISHER = {Uppsala Univ.},
  SERIES = {Acta Univ. Upsaliensis Skr. Uppsala Univ. C Organ. Hist.},
  TITLE = {{$L\sp p$} estimates for systems of conjugate harmonic functions},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1758915},
  VOLUME = {64},
  YEAR = {1999}
}

@ARTICLE{Ar-Fo,
  AUTHOR = {Arcozzi, Nicola and Fontana, Luigi},
  CODEN = {PAMYAR},
  FJOURNAL = {Proceedings of the American Mathematical Society},
  ISSN = {0002-9939},
  JOURNAL = {Proc. Amer. Math. Soc.},
  MRCLASS = {42A50 (44A15)},
  MRNUMBER = {MR1443810 (98g:42017)},
  MRREVIEWER = {Hans P. Heinig},
  NUMBER = {6},
  PAGES = {1747--1749},
  TITLE = {A characterization of the {H}ilbert transform},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1443810},
  VOLUME = {126},
  YEAR = {1998}
}

@ARTICLE{Ar-Li,
  AUTHOR = {Arcozzi, Nicola and Li, Xinwei},
  FJOURNAL = {Mathematical Research Letters},
  ISSN = {1073-2780},
  JOURNAL = {Math. Res. Lett.},
  MRCLASS = {42B20},
  MRNUMBER = {MR1453070 (99e:42024)},
  MRREVIEWER = {Javier Soria},
  NUMBER = {2-3},
  PAGES = {401--412},
  TITLE = {Riesz transforms on spheres},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1453070},
  VOLUME = {4},
  YEAR = {1997}
}

@ARTICLE{Ast1,
  AUTHOR = {Astala, Kari},
  CODEN = {PNASA6},
  FJOURNAL = {Proceedings of the National Academy of Sciences of the United States of America},
  ISSN = {0027-8424},
  JOURNAL = {Proc. Nat. Acad. Sci. U.S.A.},
  MRCLASS = {30C62},
  MRNUMBER = {MR1251715 (95m:30028a)},
  MRREVIEWER = {Gaven J. Martin},
  NUMBER = {24},
  PAGES = {11958--11959},
  TITLE = {Distortion of area and dimension under quasiconformal mappings in the plane},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1251715},
  VOLUME = {90},
  YEAR = {1993}
}

@ARTICLE{Ast2,
  AUTHOR = {Astala, Kari},
  CODEN = {ACMAA8},
  FJOURNAL = {Acta Mathematica},
  ISSN = {0001-5962},
  JOURNAL = {Acta Math.},
  MRCLASS = {30C62},
  MRNUMBER = {MR1294669 (95m:30028b)},
  MRREVIEWER = {Gaven J. Martin},
  NUMBER = {1},
  PAGES = {37--60},
  TITLE = {Area distortion of quasiconformal mappings},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1294669},
  VOLUME = {173},
  YEAR = {1994}
}

@ARTICLE{Ast3,
  AUTHOR = {Astala, Kari},
  CODEN = {AKMDA5},
  FJOURNAL = {Arkhimedes},
  ISSN = {0004-1920},
  JOURNAL = {Arkhimedes},
  MRCLASS = {00A69},
  MRNUMBER = {MR1379857},
  NUMBER = {4},
  PAGES = {308--319},
  TITLE = {The many faces of mathematics},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1379857},
  VOLUME = {47},
  YEAR = {1995}
}

@INCOLLECTION{Ast4,
  ADDRESS = {New York},
  AUTHOR = {Astala, Kari},
  BOOKTITLE = {Quasiconformal mappings and analysis (Ann Arbor, MI, 1995)},
  MRCLASS = {30C62 (30C75)},
  MRNUMBER = {MR1488445 (99a:30025)},
  MRREVIEWER = {E. Z{\l}otkiewicz},
  PAGES = {33--54},
  PUBLISHER = {Springer},
  TITLE = {Planar quasiconformal mappings; deformations and interactions},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1488445},
  YEAR = {1998}
}

@INCOLLECTION{Ast5,
  ADDRESS = {Basel},
  AUTHOR = {Astala, Kari},
  BOOKTITLE = {European Congress of Mathematics, Vol.\ I (Budapest, 1996)},
  MRCLASS = {30C62 (30F40 34C35)},
  MRNUMBER = {MR1645796 (99f:30030)},
  MRREVIEWER = {Keiichi Shibata},
  PAGES = {36--51},
  PUBLISHER = {Birkh\"auser},
  SERIES = {Progr. Math.},
  TITLE = {Recent connections and applications of planar quasiconformal mappings},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1645796},
  VOLUME = {168},
  YEAR = {1998}
}

@ARTICLE{Ast6,
  AUTHOR = {Astala, Kari},
  FJOURNAL = {Documenta Mathematica},
  ISSN = {1431-0635},
  JOURNAL = {Doc. Math.},
  MRCLASS = {30C65 (35J99)},
  MRNUMBER = {MR1648110 (99h:30024)},
  MRREVIEWER = {J. Ferrand},
  NUMBER = {Extra Vol. II},
  PAGES = {617--626 (electronic)},
  TITLE = {Analytic aspects of quasiconformality},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1648110},
  YEAR = {1998}
}

@ARTICLE{Ast-Bal,
  AUTHOR = {Astala, Kari and Balogh, Zoltan and and Reimann, Hans Martin},
  FJOURNAL = {Ast\'erisque},
  ISSN = {0303-1179},
  JOURNAL = {Ast\'erisque},
  MRCLASS = {32H50 (30C65 32F45 37F10)},
  MRNUMBER = {MR1755435 (2001d:32023)},
  MRREVIEWER = {Dan Coman},
  NUMBER = {261},
  PAGES = {xi, 1--12},
  TITLE = {Lempert mappings and holomorphic motions in {${\bf C}\sp n$}},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1755435},
  YEAR = {2000}
}

@ARTICLE{Ast-Bon,
  AUTHOR = {Astala, Kari and Bonk, Mario and Heinonen, Juha},
  FJOURNAL = {Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V},
  ISSN = {0391-173X},
  JOURNAL = {Ann. Sc. Norm. Super. Pisa Cl. Sci. (5)},
  MRCLASS = {30C65 (46E35)},
  MRNUMBER = {MR1990676 (2004k:30045)},
  MRREVIEWER = {Shan Shuang Yang},
  NUMBER = {3},
  PAGES = {687--731},
  TITLE = {Quasiconformal mappings with {S}obolev boundary values},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1990676},
  VOLUME = {1},
  YEAR = {2002}
}

@ARTICLE{Ast-Far,
  AUTHOR = {Astala, Kari and Faraco, Daniel},
  CODEN = {PEAMDU},
  FJOURNAL = {Proceedings of the Royal Society of Edinburgh. Section A. Mathematics},
  ISSN = {0308-2105},
  JOURNAL = {Proc. Roy. Soc. Edinburgh Sect. A},
  MRCLASS = {30C65 (46E35 49Q20)},
  MRNUMBER = {MR1938712 (2004e:30034)},
  NUMBER = {5},
  PAGES = {1045--1056},
  TITLE = {Quasiregular mappings and {Y}oung measures},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1938712},
  VOLUME = {132},
  YEAR = {2002}
}

@ARTICLE{As-Fe-Ro,
  AUTHOR = {Astala, K. and Fern{\'a}ndez, J. L. and and Rohde, S. and},
  CODEN = {IUMJAB},
  FJOURNAL = {Indiana University Mathematics Journal},
  ISSN = {0022-2518},
  JOURNAL = {Indiana Univ. Math. J.},
  MRCLASS = {30C62 (30C35)},
  MRNUMBER = {MR1266085 (94m:30044)},
  MRREVIEWER = {Christopher Bishop},
  NUMBER = {4},
  PAGES = {1077--1100},
  TITLE = {Quasilines and the {H}ayman-{W}u theorem},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1266085},
  VOLUME = {42},
  YEAR = {1993}
}

@ARTICLE{As-Iw-Ko-Ma,
  AUTHOR = {Astala, Kari and Iwaniec, Tadeusz and Koskela, Pekka and Martin, Gaven},
  CODEN = {MAANA},
  FJOURNAL = {Mathematische Annalen},
  ISSN = {0025-5831},
  JOURNAL = {Math. Ann.},
  MRCLASS = {30C65 (30C75)},
  MRNUMBER = {MR1777116 (2001i:30016)},
  MRREVIEWER = {Alexander D. Ukhlov},
  NUMBER = {4},
  PAGES = {703--726},
  TITLE = {Mappings of {BMO}-bounded distortion},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1777116},
  VOLUME = {317},
  YEAR = {2000}
}

@ARTICLE{As-Iw-Sa,
  AUTHOR = {Astala, Kari and Iwaniec, Tadeusz and Saksman, Eero},
  CODEN = {DUMJAO},
  FJOURNAL = {Duke Mathematical Journal},
  ISSN = {0012-7094},
  JOURNAL = {Duke Math. J.},
  MRCLASS = {30C62 (35J60 42B20)},
  MRNUMBER = {MR1815249 (2001m:30021)},
  MRREVIEWER = {Olli Martio},
  NUMBER = {1},
  PAGES = {27--56},
  TITLE = {Beltrami operators in the plane},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1815249},
  VOLUME = {107},
  YEAR = {2001}
}

@INCOLLECTION{Ast-Mar,
  ADDRESS = {Jyv\"askyl\"a},
  AUTHOR = {Astala, K. and Martin, G. J.},
  BOOKTITLE = {Papers on analysis},
  MRCLASS = {37F10 (30C62 30D05 30F40 30F60)},
  MRNUMBER = {MR1886611 (2003e:37055)},
  MRREVIEWER = {Saeed Zakeri},
  PAGES = {27--40},
  PUBLISHER = {Univ. Jyv\"askyl\"a},
  SERIES = {Rep. Univ. Jyv\"askyl\"a Dep. Math. Stat.},
  TITLE = {Holomorphic motions},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1886611},
  VOLUME = {83},
  YEAR = {2001}
}

@ARTICLE{Ast-Mie,
  AUTHOR = {Astala, Kari and Miettinen, Markku},
  CODEN = {AVRMAW},
  FJOURNAL = {Archive for Rational Mechanics and Analysis},
  ISSN = {0003-9527},
  JOURNAL = {Arch. Rational Mech. Anal.},
  MRCLASS = {74Q20 (30C65 49J45 74E30)},
  MRNUMBER = {MR1649998 (2000f:74068)},
  MRREVIEWER = {Yury Grabovsky},
  NUMBER = {3},
  PAGES = {207--240},
  TITLE = {On quasiconformal mappings and {$2$}-dimensional {$G$}-closure problems},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1649998},
  VOLUME = {143},
  YEAR = {1998}
}

@ARTICLE{As-Pi-Sa,
  AUTHOR = {Astala, Kari and P{\"a}iv{\"a}rinta, Lassi and Saksman, Eero},
  CODEN = {PEAMDU},
  FJOURNAL = {Proceedings of the Royal Society of Edinburgh. Section A. Mathematics},
  ISSN = {0308-2105},
  JOURNAL = {Proc. Roy. Soc. Edinburgh Sect. A},
  MRCLASS = {44A15},
  MRNUMBER = {MR1424219 (98a:44003)},
  MRREVIEWER = {E. R. Love},
  NUMBER = {6},
  PAGES = {1157--1167},
  TITLE = {The finite {H}ilbert transform in weighted spaces},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1424219},
  VOLUME = {126},
  YEAR = {1996}
}

@ARTICLE{Ast-Vin,
  AUTHOR = {Astala, Kari and Nesi, Vincenzo},
  FJOURNAL = {Calculus of Variations and Partial Differential Equations},
  ISSN = {0944-2669},
  JOURNAL = {Calc. Var. Partial Differential Equations},
  MRCLASS = {74Q20 (30C62 35B27)},
  MRNUMBER = {MR2020365 (2005d:74035)},
  MRREVIEWER = {Tom Carroll},
  NUMBER = {4},
  PAGES = {335--355},
  TITLE = {Composites and quasiconformal mappings: new optimal bounds in two dimensions},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR2020365},
  VOLUME = {18},
  YEAR = {2003}
}

@INCOLLECTION{Ast-Zi1,
  ADDRESS = {Warsaw},
  AUTHOR = {Astala, Kari and Zinsmeister, Michel},
  BOOKTITLE = {Topics in complex analysis (Warsaw, 1992)},
  MRCLASS = {30F60 (30-02 30C62)},
  MRNUMBER = {MR1341374 (97c:30048)},
  MRREVIEWER = {Steffen Timmann},
  PAGES = {45--52},
  PUBLISHER = {Polish Acad. Sci.},
  SERIES = {Banach Center Publ.},
  TITLE = {Rectifiability in {T}eichm\"uller theory},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1341374},
  VOLUME = {31},
  YEAR = {1995}
}

@ARTICLE{Ast-Zi2,
  AUTHOR = {Astala, K. and Zinsmeister, M.},
  CODEN = {AAFMAT},
  FJOURNAL = {Annales Academiae Scientiarum Fennicae. Series A I. Mathematica},
  ISSN = {0066-1953},
  JOURNAL = {Ann. Acad. Sci. Fenn. Ser. A I Math.},
  MRCLASS = {30F40 (30C62 58G99)},
  MRNUMBER = {MR1304107 (96a:30047)},
  MRREVIEWER = {Tadashi Kuroda},
  NUMBER = {1},
  PAGES = {81--86},
  TITLE = {Abelian coverings, {P}oincar\'e exponent of convergence and holomorphic deformations},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1304107},
  VOLUME = {20},
  YEAR = {1995}
}

@ARTICLE{Ast-Zi3,
  AUTHOR = {Astala, K. and Zinsmeister, M.},
  FJOURNAL = {Ergodic Theory and Dynamical Systems},
  ISSN = {0143-3857},
  JOURNAL = {Ergodic Theory Dynam. Systems},
  MRCLASS = {30F40 (20H10 30C62)},
  MRNUMBER = {MR1279468 (95k:30095)},
  MRREVIEWER = {Christopher Bishop},
  NUMBER = {2},
  PAGES = {207--212},
  TITLE = {Holomorphic families of quasi-{F}uchsian groups},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1279468},
  VOLUME = {14},
  YEAR = {1994}
}

@BOOK{Axl,
  ADDRESS = {New York},
  AUTHOR = {Axler, Sheldon and Bourdon, Paul and Ramey, Wade},
  ISBN = {0-387-97875-5},
  MRCLASS = {31-01},
  MRNUMBER = {MR1184139 (93f:31001)},
  MRREVIEWER = {Christopher Bishop},
  PAGES = {xii+231},
  PUBLISHER = {Springer-Verlag},
  SERIES = {Graduate Texts in Mathematics},
  TITLE = {Harmonic function theory},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1184139},
  VOLUME = {137},
  YEAR = {1992}
}

@ARTICLE{Bae,
  AUTHOR = {Baernstein, II, Albert},
  CODEN = {IUMJAB},
  FJOURNAL = {Indiana University Mathematics Journal},
  ISSN = {0022-2518},
  JOURNAL = {Indiana Univ. Math. J.},
  MRCLASS = {30D55},
  MRNUMBER = {MR503717 (80g:30022)},
  MRREVIEWER = {D. A. Brannan},
  NUMBER = {5},
  PAGES = {833--852},
  TITLE = {Some sharp inequalities for conjugate functions},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR503717},
  VOLUME = {27},
  YEAR = {1978}
}

@INCOLLECTION{Bae-Ma,
  ADDRESS = {Rome},
  AUTHOR = {Baernstein, II, Albert and Manfredi, Juan J.},
  BOOKTITLE = {Topics in modern harmonic analysis, Vol. I, II (Turin/Milan, 1982)},
  MRCLASS = {30C60 (42B99 46N05)},
  MRNUMBER = {MR748884 (85j:30037)},
  MRREVIEWER = {S. B. Agard},
  PAGES = {819--862},
  PUBLISHER = {Ist. Naz. Alta Mat. Francesco Severi},
  TITLE = {Topics in quasiconformal mapping},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR748884},
  YEAR = {1983}
}

@INCOLLECTION{Bae-Sm,
  ADDRESS = {Uppsala},
  AUTHOR = {Baernstein, II, Albert and Montgomery-Smith, Stephen J.},
  BOOKTITLE = {Complex analysis and differential equations (Uppsala, 1997)},
  MRCLASS = {30A10 (30C62 35A22)},
  MRNUMBER = {MR1758918 (2001i:30002)},
  MRREVIEWER = {Fr{\'e}d{\'e}ric Math{\'e}us},
  PAGES = {92--109},
  PUBLISHER = {Uppsala Univ.},
  SERIES = {Acta Univ. Upsaliensis Skr. Uppsala Univ. C Organ. Hist.},
  TITLE = {Some conjectures about integral means of {$\partial f$} and {$\overline\partial f$}},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1758918},
  VOLUME = {64},
  YEAR = {1999}
}

@ARTICLE{banuelos1,
  AUTHOR = {Ba{\~n}uelos, Rodrigo},
  CODEN = {TAMTAM},
  FJOURNAL = {Transactions of the American Mathematical Society},
  ISSN = {0002-9947},
  JOURNAL = {Trans. Amer. Math. Soc.},
  MRCLASS = {60G44 (42B20 60G46 60H05)},
  MRNUMBER = {MR816309 (87h:60095)},
  MRREVIEWER = {Martin L. Silverstein},
  NUMBER = {2},
  PAGES = {547--563},
  TITLE = {Martingale transforms and related singular integrals},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR816309},
  VOLUME = {293},
  YEAR = {1986}
}

@ARTICLE{banuelos2,
  AUTHOR = {Ba{\~n}uelos, Rodrigo},
  CODEN = {SMATAZ},
  FJOURNAL = {Polska Akademia Nauk. Instytut Matematyczny. Studia Mathematica},
  ISSN = {0039-3223},
  JOURNAL = {Studia Math.},
  MRCLASS = {60G46 (42B20)},
  MRNUMBER = {MR887316 (88k:60088)},
  MRREVIEWER = {Dominique L{\'e}pingle},
  NUMBER = {2},
  PAGES = {125--135},
  TITLE = {A note on martingale transforms and {$A\sb p$}-weights},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR887316},
  VOLUME = {85},
  YEAR = {1987}
}

@ARTICLE{banuelos3,
  AUTHOR = {Ba{\~n}uelos, Rodrigo},
  FJOURNAL = {The Michigan Mathematical Journal},
  ISSN = {0026-2285},
  JOURNAL = {Michigan Math. J.},
  MRCLASS = {42B20 (60G46)},
  MRNUMBER = {MR931943 (89c:42023)},
  MRREVIEWER = {Mario Milman},
  NUMBER = {1},
  PAGES = {117--125},
  TITLE = {A sharp good-{$\lambda$} inequality with an application to {R}iesz transforms},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR931943},
  VOLUME = {35},
  YEAR = {1988}
}

@ARTICLE{banuelos4,
  AUTHOR = {Ba{\~n}uelos, Rodrigo and Bennett, Andrew G.},
  CODEN = {PAMYAR},
  FJOURNAL = {Proceedings of the American Mathematical Society},
  ISSN = {0002-9939},
  JOURNAL = {Proc. Amer. Math. Soc.},
  MRCLASS = {60G46 (60G44)},
  MRNUMBER = {MR955015 (89m:60108)},
  MRREVIEWER = {Roger L. Jones},
  NUMBER = {4},
  PAGES = {1226--1234},
  TITLE = {Paraproducts and commutators of martingale transforms},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR955015},
  VOLUME = {103},
  YEAR = {1988}
}

@ARTICLE{banuelos5,
  AUTHOR = {Ba{\~n}uelos, Rodrigo and Lindeman, II, Arthur},
  CODEN = {JFUAAW},
  FJOURNAL = {Journal of Functional Analysis},
  ISSN = {0022-1236},
  JOURNAL = {J. Funct. Anal.},
  MRCLASS = {30C40 (42B20 47B38 60G46)},
  MRNUMBER = {MR1442167 (98a:30007)},
  MRREVIEWER = {Vasily A. Chernecky},
  NUMBER = {1},
  PAGES = {224--265},
  TITLE = {A martingale study of the {B}eurling-{A}hlfors transform in {${\bf R}\sp n$}},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1442167},
  VOLUME = {145},
  YEAR = {1997}
}

@ARTICLE{banuelos6,
  AUTHOR = {R. Ba\~nuelos, A. J. Lindeman},
  TITLE = {The Martingale Structure of the Beurling-Ahlfors Transform. Unpublished paper},
  URL = {http://www.math.purdue.edu/~banuelos/papers.html}
}

@ARTICLE{banuelos7,
  AUTHOR = {Ba{\~n}uelos, R. and M{\'e}ndez-Hern{\'a}ndez, P. J.},
  CODEN = {IUMJAB},
  FJOURNAL = {Indiana University Mathematics Journal},
  ISSN = {0022-2518},
  JOURNAL = {Indiana Univ. Math. J.},
  MRCLASS = {60G46 (30C62 47G10 60G44)},
  MRNUMBER = {MR2001941 (2004h:60067)},
  MRREVIEWER = {Jean-Claude Gruet},
  NUMBER = {4},
  PAGES = {981--990},
  TITLE = {Space-time {B}rownian motion and the {B}eurling-{A}hlfors transform},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR2001941},
  VOLUME = {52},
  YEAR = {2003}
}

@BOOK{banuelos8,
  ADDRESS = {Basel},
  AUTHOR = {Ba{\~n}uelos, Rodrigo and Moore, Charles N. and},
  ISBN = {3-7643-6062-3},
  MRCLASS = {31B05 (42B25 60G46)},
  MRNUMBER = {MR1707297 (2001j:31003)},
  MRREVIEWER = {Tao Qian},
  PAGES = {xiv+204},
  PUBLISHER = {Birkh\"auser Verlag},
  SERIES = {Progress in Mathematics},
  TITLE = {Probabilistic behavior of harmonic functions},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1707297},
  VOLUME = {175},
  YEAR = {1999}
}

@ARTICLE{banuelos9,
  AUTHOR = {Ba{\~n}uelos, Rodrigo and Wang, Gang and},
  CODEN = {DUMJAO},
  FJOURNAL = {Duke Mathematical Journal},
  ISSN = {0012-7094},
  JOURNAL = {Duke Math. J.},
  MRCLASS = {60G44 (30C80 60G46)},
  MRNUMBER = {MR1370109 (96k:60108)},
  MRREVIEWER = {Tao Qian},
  NUMBER = {3},
  PAGES = {575--600},
  TITLE = {Sharp inequalities for martingales with applications to the {B}eurling-{A}hlfors and {R}iesz transforms},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1370109},
  VOLUME = {80},
  YEAR = {1995}
}

@ARTICLE{banuelos10,
  AUTHOR = {R. Ba\~nuelos and G. Wang},
  FJOURNAL = {Illinois Journal of Mathematics},
  PAGES = {687--691},
  TITLE = {Sharp Inequalities for Martingales Under Orthogonality and Differential Subordination},
  VOLUME = {40},
  YEAR = {1996}
}

@ARTICLE{banuelos11,
  AUTHOR = {Ba{\~n}uelos, Rodrigo and Wang, Gang and},
  FJOURNAL = {The Michigan Mathematical Journal},
  ISSN = {0026-2285},
  JOURNAL = {Michigan Math. J.},
  MRCLASS = {60G44 (31B05 60E15 60G46)},
  MRNUMBER = {MR1755259 (2001g:60100)},
  MRREVIEWER = {Charles N. Moore},
  NUMBER = {1},
  PAGES = {109--124},
  TITLE = {Davis's inequality for orthogonal martingales under differential subordination},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1755259},
  VOLUME = {47},
  YEAR = {2000}
}

@BOOK{bass1,
  ADDRESS = {New York},
  AUTHOR = {Bass, Richard F.},
  ISBN = {0-387-94387-0},
  MRCLASS = {60-01 (00A05 60J70)},
  MRNUMBER = {MR1329542 (96e:60001)},
  MRREVIEWER = {Tu Sheng Zhang},
  PAGES = {xii+392},
  PUBLISHER = {Springer-Verlag},
  SERIES = {Probability and its Applications (New York)},
  TITLE = {Probabilistic techniques in analysis},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1329542},
  YEAR = {1995}
}

@ARTICLE{Boj1,
  AUTHOR = {Boyarski{\u\i}, B. V.},
  FJOURNAL = {Doklady Akademii Nauk SSSR},
  ISSN = {0002-3264},
  JOURNAL = {Dokl. Akad. Nauk SSSR (N.S.)},
  MRCLASS = {35.0X},
  MRNUMBER = {MR0071620 (17,157a)},
  MRREVIEWER = {L. Bers},
  PAGES = {661--664},
  TITLE = {Homeomorphic solutions of {B}eltrami systems},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR0071620},
  VOLUME = {102},
  YEAR = {1955}
}

@INCOLLECTION{Boj2,
  ADDRESS = {London},
  AUTHOR = {Bojarski, Bogdan},
  BOOKTITLE = {Symposia Mathematica, Vol. XVIII (Convegno sulle Transformazioni Quasiconformi e Questioni Connesse, INDAM, Rome, 1974)},
  MRCLASS = {30A60 (35J45)},
  MRNUMBER = {MR0507823 (58 \#22542)},
  MRREVIEWER = {A. M. White},
  PAGES = {485--499},
  PUBLISHER = {Academic Press},
  TITLE = {Quasiconformal mappings and general structural properties of systems of non linear equations elliptic in the sense of {L}avrent\cprime ev},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR0507823},
  YEAR = {1976}
}

@ARTICLE{Bo-Iw,
  AUTHOR = {Bojarski, Bogdan and Iwaniec, T.},
  FJOURNAL = {Bulletin de l'Acad\'emie Polonaise des Sciences. S\'erie des Sciences Math\'ematiques, Astronomiques et Physiques},
  ISSN = {0001-4117},
  JOURNAL = {Bull. Acad. Polon. Sci. S\'er. Sci. Math. Astronom. Phys.},
  MRCLASS = {35J60 (30A60)},
  MRNUMBER = {MR0364856 (51 \#1110)},
  MRREVIEWER = {A. M. White},
  PAGES = {473--478; ibid. 22 (1974), 479--484},
  TITLE = {Quasiconformal mappings and non-linear elliptic equations in two variables. {I}, {II}},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR0364856},
  VOLUME = {22},
  YEAR = {1974}
}

@ARTICLE{Buc,
  AUTHOR = {Buckley, Stephen M.},
  CODEN = {TAMTAM},
  FJOURNAL = {Transactions of the American Mathematical Society},
  ISSN = {0002-9947},
  JOURNAL = {Trans. Amer. Math. Soc.},
  MRCLASS = {42B20 (42B25 47A30 47B38 47G10)},
  MRNUMBER = {MR1124164 (94a:42011)},
  MRREVIEWER = {Javier Duoandikoetxea},
  NUMBER = {1},
  PAGES = {253--272},
  TITLE = {Estimates for operator norms on weighted spaces and reverse {J}ensen inequalities},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1124164},
  VOLUME = {340},
  YEAR = {1993}
}

@ARTICLE{bourgain1,
  AUTHOR = {Bourgain, J.},
  CODEN = {AKMTAJ},
  FJOURNAL = {Arkiv f\"or Matematik},
  ISSN = {0004-2080},
  JOURNAL = {Ark. Mat.},
  MRCLASS = {46B20 (60B11 60G42)},
  MRNUMBER = {MR727340 (85a:46011)},
  MRREVIEWER = {D. J. H. Garling},
  NUMBER = {2},
  PAGES = {163--168},
  TITLE = {Some remarks on {B}anach spaces in which martingale difference sequences are unconditional},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR727340},
  VOLUME = {21},
  YEAR = {1983}
}

@INCOLLECTION{bourgain2,
  ADDRESS = {New York},
  AUTHOR = {Bourgain, Jean},
  BOOKTITLE = {Probability theory and harmonic analysis (Cleveland, Ohio, 1983)},
  MRCLASS = {42B20 (46E40 47B10)},
  MRNUMBER = {MR830227 (87j:42049b)},
  MRREVIEWER = {Mario Milman},
  PAGES = {1--19},
  PUBLISHER = {Dekker},
  SERIES = {Monogr. Textbooks Pure Appl. Math.},
  TITLE = {Vector-valued singular integrals and the {$H\sp 1$}-{BMO} duality},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR830227},
  VOLUME = {98},
  YEAR = {1986}
}

@ARTICLE{bourgain3,
  AUTHOR = {Bourgain, J. and Davis, W. J. and},
  CODEN = {TAMTAM},
  FJOURNAL = {Transactions of the American Mathematical Society},
  ISSN = {0002-9947},
  JOURNAL = {Trans. Amer. Math. Soc.},
  MRCLASS = {46E40 (42B20 46B99 60G46)},
  MRNUMBER = {MR825718 (88d:46062)},
  MRREVIEWER = {Gilles Pisier},
  NUMBER = {2},
  PAGES = {501--515},
  TITLE = {Martingale transforms and complex uniform convexity},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR825718},
  VOLUME = {294},
  YEAR = {1986}
}

@ARTICLE{Bur1,
  AUTHOR = {Burkholder, D. L.},
  JOURNAL = {Ann. Math. Statist.},
  MRCLASS = {60.40},
  MRNUMBER = {MR0208647 (34 \#8456)},
  MRREVIEWER = {K. Krickeberg},
  PAGES = {1494--1504},
  TITLE = {Martingale transforms},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR0208647},
  VOLUME = {37},
  YEAR = {1966}
}

@ARTICLE{Bur2,
  AUTHOR = {Burkholder, D. L.},
  JOURNAL = {Ann. Probability},
  MRCLASS = {60G45 (30A78)},
  MRNUMBER = {MR0365692 (51 \#1944)},
  MRREVIEWER = {Martin L. Silverstein},
  PAGES = {19--42},
  TITLE = {Distribution function inequalities for martingales},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR0365692},
  VOLUME = {1},
  YEAR = {1973}
}

@INCOLLECTION{Bur3,
  AUTHOR = {Burkholder, D. L.},
  BOOKTITLE = {Studies in harmonic analysis (Proc. Conf., DePaul Univ., Chicago, Ill., 1974)},
  MRCLASS = {42A36 (42A40 60G45)},
  MRNUMBER = {MR0463788 (57 \#3728)},
  MRREVIEWER = {Karl Petersen},
  PAGES = {136--149. MAA Stud. Math., Vol. 13},
  PUBLISHER = {Math. Assoc. Amer., Washington, D.C.},
  TITLE = {Harmonic analysis and probability},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR0463788},
  YEAR = {1976}
}

@ARTICLE{Bur4,
  AUTHOR = {Burkholder, D. L.},
  FJOURNAL = {Advances in Mathematics},
  ISSN = {0001-8708},
  JOURNAL = {Advances in Math.},
  MRCLASS = {60J65 (30A78 31B05)},
  MRNUMBER = {MR0474525 (57 \#14163)},
  MRREVIEWER = {Walter A. Rosenkrantz},
  NUMBER = {2},
  PAGES = {182--205},
  TITLE = {Exit times of {B}rownian motion, harmonic majorization, and {H}ardy spaces},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR0474525},
  VOLUME = {26},
  YEAR = {1977}
}

@ARTICLE{Bur5,
  AUTHOR = {Burkholder, D. L.},
  CODEN = {APBYAE},
  FJOURNAL = {The Annals of Probability},
  ISSN = {0091-1798},
  JOURNAL = {Ann. Probab.},
  MRCLASS = {60G42 (46B20 60G44)},
  MRNUMBER = {MR632972 (83f:60070)},
  MRREVIEWER = {S. D. Chatterji},
  NUMBER = {6},
  PAGES = {997--1011},
  TITLE = {A geometrical characterization of {B}anach spaces in which martingale difference sequences are unconditional},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR632972},
  VOLUME = {9},
  YEAR = {1981}
}

@ARTICLE{Bur6,
  AUTHOR = {Burkholder, D. L.},
  CODEN = {BAMOAD},
  FJOURNAL = {American Mathematical Society. Bulletin. New Series},
  ISSN = {0273-0979},
  JOURNAL = {Bull. Amer. Math. Soc. (N.S.)},
  MRCLASS = {60G46 (35C99 42C10 46E30)},
  MRNUMBER = {MR670133 (83j:60045)},
  MRREVIEWER = {David J. Aldous},
  NUMBER = {3},
  PAGES = {591--595},
  TITLE = {A nonlinear partial differential equation and the unconditional constant of the {H}aar system in {$L\sp{p}$}},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR670133},
  VOLUME = {7},
  YEAR = {1982}
}

@INCOLLECTION{Bur7,
  ADDRESS = {Belmont, CA},
  AUTHOR = {Burkholder, D. L.},
  BOOKTITLE = {Conference on harmonic analysis in honor of Antoni Zygmund, Vol. I, II (Chicago, Ill., 1981)},
  MRCLASS = {42B20 (44A15)},
  MRNUMBER = {MR730072 (85i:42020)},
  MRREVIEWER = {Mario Milman},
  PAGES = {270--286},
  PUBLISHER = {Wadsworth},
  SERIES = {Wadsworth Math. Ser.},
  TITLE = {A geometric condition that implies the existence of certain singular integrals of {B}anach-space-valued functions},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR730072},
  YEAR = {1983}
}

@ARTICLE{Bur8,
  AUTHOR = {Burkholder, D. L.},
  CODEN = {APBYAE},
  FJOURNAL = {The Annals of Probability},
  ISSN = {0091-1798},
  JOURNAL = {Ann. Probab.},
  MRCLASS = {60G42 (46N05 60G46)},
  MRNUMBER = {MR744226 (86b:60080)},
  MRREVIEWER = {Jean-Yves Ouvrard},
  NUMBER = {3},
  PAGES = {647--702},
  TITLE = {Boundary value problems and sharp inequalities for martingale transforms},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR744226},
  VOLUME = {12},
  YEAR = {1984}
}

@ARTICLE{Bur9,
  AUTHOR = {Burkholder, D. L.},
  CODEN = {LMSBBT},
  FJOURNAL = {The Bulletin of the London Mathematical Society},
  ISSN = {0024-6093},
  JOURNAL = {Bull. London Math. Soc.},
  MRCLASS = {42C10 (42C20 46B20 60G46)},
  MRNUMBER = {MR806015 (87a:42041)},
  MRREVIEWER = {Rainer Wittmann},
  NUMBER = {5},
  PAGES = {474--478},
  TITLE = {An elementary proof of an inequality of {R}. {E}. {A}. {C}. {P}aley},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR806015},
  VOLUME = {17},
  YEAR = {1985}
}

@INCOLLECTION{Bur10,
  ADDRESS = {Berlin},
  AUTHOR = {Burkholder, Donald L.},
  BOOKTITLE = {Probability and analysis (Varenna, 1985)},
  MRCLASS = {42A45 (42A61 46E40 60G42 60G46)},
  MRNUMBER = {MR864712 (88c:42017)},
  MRREVIEWER = {Terry R. McConnell},
  PAGES = {61--108},
  PUBLISHER = {Springer},
  SERIES = {Lecture Notes in Math.},
  TITLE = {Martingales and {F}ourier analysis in {B}anach spaces},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR864712},
  VOLUME = {1206},
  YEAR = {1986}
}

@ARTICLE{Bur11,
  AUTHOR = {Burkholder, D. L.},
  CODEN = {APBYAE},
  FJOURNAL = {The Annals of Probability},
  ISSN = {0091-1798},
  JOURNAL = {Ann. Probab.},
  MRCLASS = {60H05 (26D15 60G44)},
  MRNUMBER = {MR877602 (88d:60156)},
  MRREVIEWER = {Terry R. McConnell},
  NUMBER = {1},
  PAGES = {268--273},
  TITLE = {A sharp and strict {$L\sp p$}-inequality for stochastic integrals},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR877602},
  VOLUME = {15},
  YEAR = {1987}
}

@ARTICLE{Bur12,
  AUTHOR = {Burkholder, Donald L.},
  FJOURNAL = {Ast\'erisque},
  ISSN = {0303-1179},
  JOURNAL = {Ast\'erisque},
  MRCLASS = {60G42 (60G46)},
  MRNUMBER = {MR976214 (90b:60051)},
  MRREVIEWER = {Maurizio Pratelli},
  NUMBER = {157-158},
  PAGES = {75--94},
  TITLE = {Sharp inequalities for martingales and stochastic integrals},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR976214},
  YEAR = {1988}
}

@INCOLLECTION{Bur13,
  ADDRESS = {Boston, MA},
  AUTHOR = {Burkholder, Donald L.},
  BOOKTITLE = {Almost everywhere convergence (Columbus, OH, 1988)},
  MRCLASS = {60G42 (46B99 46C99 60B11)},
  MRNUMBER = {MR1035244 (91c:60054)},
  MRREVIEWER = {Terry R. McConnell},
  PAGES = {159--178},
  PUBLISHER = {Academic Press},
  TITLE = {On the number of escapes of a martingale and its geometrical significance},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1035244},
  YEAR = {1989}
}

@INCOLLECTION{Bur15,
  ADDRESS = {Berlin},
  AUTHOR = {Burkholder, Donald L.},
  BOOKTITLE = {Harmonic analysis and partial differential equations (El Escorial, 1987)},
  MRCLASS = {31B05 (42B30 46E20 46E40 60G46)},
  MRNUMBER = {MR1013814 (90k:31004)},
  MRREVIEWER = {Matts Ess{\'e}n},
  PAGES = {1--23},
  PUBLISHER = {Springer},
  SERIES = {Lecture Notes in Math.},
  TITLE = {Differential subordination of harmonic functions and martingales},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1013814},
  VOLUME = {1384},
  YEAR = {1989}
}

@INCOLLECTION{Bur16,
  ADDRESS = {Berlin},
  AUTHOR = {Burkholder, Donald L.},
  BOOKTITLE = {\'Ecole d'\'Et\'e de Probabilit\'es de Saint-Flour XIX---1989},
  MRCLASS = {60G42},
  MRNUMBER = {MR1108183 (92m:60037)},
  MRREVIEWER = {Terry R. McConnell},
  PAGES = {1--66},
  PUBLISHER = {Springer},
  SERIES = {Lecture Notes in Math.},
  TITLE = {Explorations in martingale theory and its applications},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1108183},
  VOLUME = {1464},
  YEAR = {1991}
}

@ARTICLE{Bur17,
  AUTHOR = {Burkholder, Donald L.},
  CODEN = {APBYAE},
  FJOURNAL = {The Annals of Probability},
  ISSN = {0091-1798},
  JOURNAL = {Ann. Probab.},
  MRCLASS = {60H05 (60E15 60G42 60G46)},
  MRNUMBER = {MR1288140 (95h:60085)},
  MRREVIEWER = {Sheng Wu He},
  NUMBER = {2},
  PAGES = {995--1025},
  TITLE = {Strong differential subordination and stochastic integration},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1288140},
  VOLUME = {22},
  YEAR = {1994}
}

@INPROCEEDINGS{Bur18,
  ADDRESS = {Providence, RI},
  AUTHOR = {Burkholder, Donald L.},
  BOOKTITLE = {Proceedings of the Norbert Wiener Centenary Congress, 1994 (East Lansing, MI, 1994)},
  MRCLASS = {60H05 (60E15 60G42)},
  MRNUMBER = {MR1440921 (98f:60103)},
  MRREVIEWER = {Dominique L{\'e}pingle},
  PAGES = {343--358},
  PUBLISHER = {Amer. Math. Soc.},
  SERIES = {Proc. Sympos. Appl. Math.},
  TITLE = {Sharp norm comparison of martingale maximal functions and stochastic integrals},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1440921},
  VOLUME = {52},
  YEAR = {1997}
}

@INCOLLECTION{Bur19,
  ADDRESS = {Chicago, IL},
  AUTHOR = {Burkholder, Donald L.},
  BOOKTITLE = {Harmonic analysis and partial differential equations (Chicago, IL, 1996)},
  MRCLASS = {60G42 (31B05 60E15 60H05)},
  MRNUMBER = {MR1743857 (2001g:60098)},
  MRREVIEWER = {Charles N. Moore},
  PAGES = {99--115},
  PUBLISHER = {Univ. Chicago Press},
  SERIES = {Chicago Lectures in Math.},
  TITLE = {Some extremal problems in martingale theory and harmonic analysis},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1743857},
  YEAR = {1999}
}

@INCOLLECTION{Bur20,
  ADDRESS = {Amsterdam},
  AUTHOR = {Burkholder, Donald L.},
  BOOKTITLE = {Handbook of the geometry of Banach spaces, Vol. I},
  MRCLASS = {46B09 (60G42 60G46)},
  MRNUMBER = {MR1863694 (2003b:46009)},
  MRREVIEWER = {Ferenc Weisz},
  PAGES = {233--269},
  PUBLISHER = {North-Holland},
  TITLE = {Martingales and singular integrals in {B}anach spaces},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1863694},
  YEAR = {2001}
}

@ARTICLE{Bur21,
  AUTHOR = {Burkholder, Donald L.},
  CODEN = {TAMTAM},
  FJOURNAL = {Transactions of the American Mathematical Society},
  ISSN = {0002-9947},
  JOURNAL = {Trans. Amer. Math. Soc.},
  MRCLASS = {60G44 (42B25 60G42 60J65)},
  MRNUMBER = {MR1859027 (2002g:60063)},
  MRREVIEWER = {Ferenc Weisz},
  NUMBER = {1},
  PAGES = {91--105 (electronic)},
  TITLE = {The best constant in the {D}avis inequality for the expectation of the martingale square function},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1859027},
  VOLUME = {354},
  YEAR = {2002}
}

@INPROCEEDINGS{Bu-Da-Gu,
  ADDRESS = {Berkeley, Calif.},
  AUTHOR = {Burkholder, D. L. and Davis, B. J. and Gundy, R. F.},
  BOOKTITLE = {Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability (Univ. California, Berkeley, Calif., 1970/1971), Vol. II: Probability theory},
  MRCLASS = {60G15},
  MRNUMBER = {MR0400380 (53 \#4214)},
  MRREVIEWER = {Maurizio Pratelli},
  PAGES = {223--240},
  PUBLISHER = {Univ. California Press},
  TITLE = {Integral inequalities for convex functions of operators on martingales},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR0400380},
  YEAR = {1972}
}

@ARTICLE{Bu-Gu1,
  AUTHOR = {Burkholder, D. L. and Gundy, R. F.},
  FJOURNAL = {Acta Mathematica},
  ISSN = {0001-5962},
  JOURNAL = {Acta Math.},
  MRCLASS = {60G45},
  MRNUMBER = {MR0440695 (55 \#13567)},
  MRREVIEWER = {Maurizio Pratelli},
  PAGES = {249--304},
  TITLE = {Extrapolation and interpolation of quasi-linear operators on martingales},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR0440695},
  VOLUME = {124},
  YEAR = {1970}
}

@ARTICLE{Bu-Gu2,
  AUTHOR = {Burkholder, D. L. and Gundy, R. F.},
  FJOURNAL = {Universit\'e de Grenoble. Annales de l'Institut Fourier},
  ISSN = {0373-0956},
  JOURNAL = {Ann. Inst. Fourier (Grenoble)},
  MRCLASS = {60G45 (30A78 31B05)},
  MRNUMBER = {MR0365691 (51 \#1943)},
  MRREVIEWER = {Martin L. Silverstein},
  NUMBER = {4},
  PAGES = {195--212},
  TITLE = {Boundary behaviour of harmonic functions in a half-space and {B}rownian motion},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR0365691},
  VOLUME = {23},
  YEAR = {1973}
}

@ARTICLE{Bu-Gu-Si,
  AUTHOR = {Burkholder, D. L. and Gundy, R. F. and Silverstein, M. L.},
  FJOURNAL = {Transactions of the American Mathematical Society},
  ISSN = {0002-9947},
  JOURNAL = {Trans. Amer. Math. Soc.},
  MRCLASS = {30.67},
  MRNUMBER = {MR0274767 (43 \#527)},
  MRREVIEWER = {S. Fisher},
  PAGES = {137--153},
  TITLE = {A maximal function characterization of the class {$H\sp{p}$}},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR0274767},
  VOLUME = {157},
  YEAR = {1971}
}

@ARTICLE{Ca-Zy1,
  AUTHOR = {Calderon, A. P. and Zygmund, A.},
  FJOURNAL = {Acta Mathematica},
  ISSN = {0001-5962},
  JOURNAL = {Acta Math.},
  MRCLASS = {42.4X},
  MRNUMBER = {MR0052553 (14,637f)},
  MRREVIEWER = {H. Kober},
  PAGES = {85--139},
  TITLE = {On the existence of certain singular integrals},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR0052553},
  VOLUME = {88},
  YEAR = {1952}
}

@ARTICLE{Ca-Zy2,
  AUTHOR = {Calder{\'o}n, A. P. and Zygmund, A.},
  FJOURNAL = {American Journal of Mathematics},
  ISSN = {0002-9327},
  JOURNAL = {Amer. J. Math.},
  MRCLASS = {44.0X},
  MRNUMBER = {MR0084633 (18,894a)},
  MRREVIEWER = {H. Kober},
  PAGES = {289--309},
  TITLE = {On singular integrals},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR0084633},
  VOLUME = {78},
  YEAR = {1956}
}

@ARTICLE{Choi,
  AUTHOR = {Choi, Changsun},
  CODEN = {TAMTAM},
  FJOURNAL = {Transactions of the American Mathematical Society},
  ISSN = {0002-9947},
  JOURNAL = {Trans. Amer. Math. Soc.},
  MRCLASS = {31B05 (31B15 42A50 60G42)},
  MRNUMBER = {MR1617340 (99e:31006)},
  MRREVIEWER = {Alexander R. Pruss},
  NUMBER = {7},
  PAGES = {2687--2696},
  TITLE = {A weak-type inequality for differentially subordinate harmonic functions},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1617340},
  VOLUME = {350},
  YEAR = {1998}
}

@ARTICLE{Ca-Gr-Iw,
  AUTHOR = {Capone, Claudia and Greco, Luigi and and Iwaniec, Tadeusz},
  CODEN = {NOANDD},
  FJOURNAL = {Nonlinear Analysis. Theory, Methods \& Applications. An International Multidisciplinary Journal. Series A: Theory and Methods},
  ISSN = {0362-546X},
  JOURNAL = {Nonlinear Anal.},
  MRCLASS = {35J60 (42B20 46N20)},
  MRNUMBER = {MR1878405 (2003e:35078)},
  MRREVIEWER = {Piotr Haj{\l}asz},
  NUMBER = {4, Ser. A: Theory Methods},
  PAGES = {513--523},
  TITLE = {Higher integrability via {R}iesz transforms and interpolation},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1878405},
  VOLUME = {49},
  YEAR = {2002}
}

@BOOK{dacoronga1,
  ADDRESS = {Berlin},
  AUTHOR = {Dacorogna, Bernard},
  ISBN = {3-540-50491-5},
  MRCLASS = {49-02 (49A50 73C50 73C60 73K40)},
  MRNUMBER = {MR990890 (90e:49001)},
  MRREVIEWER = {R. C. Varma},
  PAGES = {x+308},
  PUBLISHER = {Springer-Verlag},
  SERIES = {Applied Mathematical Sciences},
  TITLE = {Direct methods in the calculus of variations},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR990890},
  VOLUME = {78},
  YEAR = {1989}
}

@INCOLLECTION{Dacoronga2,
  ADDRESS = {River Edge, NJ},
  AUTHOR = {Dacorogna, Bernard},
  BOOKTITLE = {Calculus of variations, homogenization and continuum mechanics (Marseille, 1993)},
  MRCLASS = {49J10 (90C48)},
  MRNUMBER = {MR1428698},
  PAGES = {169--176},
  PUBLISHER = {World Sci. Publishing},
  SERIES = {Ser. Adv. Math. Appl. Sci.},
  TITLE = {Some recent results on polyconvex, quasiconvex and rank one convex functions},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1428698},
  VOLUME = {18},
  YEAR = {1994}
}

@ARTICLE{Dacoronga3,
  AUTHOR = {Dacorogna, B. and Douchet, J. and Gangbo, W. and Rappaz, J.},
  CODEN = {PEAMDU},
  FJOURNAL = {Proceedings of the Royal Society of Edinburgh. Section A. Mathematics},
  ISSN = {0308-2105},
  JOURNAL = {Proc. Roy. Soc. Edinburgh Sect. A},
  MRCLASS = {49J27 (26B25 49J52)},
  MRNUMBER = {MR1051612 (91e:49013)},
  MRREVIEWER = {Maria Borgogno},
  NUMBER = {1-2},
  PAGES = {135--150},
  TITLE = {Some examples of rank one convex functions in dimension two},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1051612},
  VOLUME = {114},
  YEAR = {1990}
}

@ARTICLE{Dav1,
  AUTHOR = {Davis, Burgess},
  FJOURNAL = {Duke Mathematical Journal},
  ISSN = {0012-7094},
  JOURNAL = {Duke Math. J.},
  MRCLASS = {42A40 (42A36)},
  MRNUMBER = {MR0324297 (48 \#2649)},
  MRREVIEWER = {J. R. Kinney},
  PAGES = {695--700},
  TITLE = {On the distributions of conjugate functions of nonnegative measures},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR0324297},
  VOLUME = {40},
  YEAR = {1973}
}

@ARTICLE{Dav2,
  AUTHOR = {Davis, Burgess},
  FJOURNAL = {Proceedings of the American Mathematical Society},
  ISSN = {0002-9939},
  JOURNAL = {Proc. Amer. Math. Soc.},
  MRCLASS = {42A40},
  MRNUMBER = {MR0348381 (50 \#879)},
  MRREVIEWER = {Michael Sharpe},
  PAGES = {307--311},
  TITLE = {On the weak type {$(1,\,1)$} inequality for conjugate functions},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR0348381},
  VOLUME = {44},
  YEAR = {1974}
}

@ARTICLE{Dav3,
  AUTHOR = {Davis, Burgess},
  FJOURNAL = {Duke Mathematical Journal},
  ISSN = {0012-7094},
  JOURNAL = {Duke Math. J.},
  MRCLASS = {60G45},
  MRNUMBER = {MR0418219 (54 \#6260)},
  MRREVIEWER = {Maurizio Pratelli},
  NUMBER = {4},
  PAGES = {697--704},
  TITLE = {On the {$L\sp{p}$} norms of stochastic integrals and other martingales},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR0418219},
  VOLUME = {43},
  YEAR = {1976}
}

@INCOLLECTION{Dav4,
  ADDRESS = {Providence, R.I.},
  AUTHOR = {Davis, Burgess},
  BOOKTITLE = {Harmonic analysis in Euclidean spaces (Proc. Sympos. Pure Math., Williams Coll., Williamstown, Mass., 1978), Part 2},
  MRCLASS = {60J65 (30D55)},
  MRNUMBER = {MR545316 (80j:60105)},
  MRREVIEWER = {J. E. A. Dunnage},
  PAGES = {303--310},
  PUBLISHER = {Amer. Math. Soc.},
  SERIES = {Proc. Sympos. Pure Math., XXXV, Part},
  TITLE = {Applications of the conformal invariance of {B}rownian motion},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR545316},
  YEAR = {1979}
}

@ARTICLE{Dav5,
  AUTHOR = {Davis, Burgess},
  CODEN = {APBYAE},
  FJOURNAL = {The Annals of Probability},
  ISSN = {0091-1798},
  JOURNAL = {Ann. Probab.},
  MRCLASS = {30-02 (30D55 60-02 60J65)},
  MRNUMBER = {MR548889 (80j:30001)},
  MRREVIEWER = {Karl Petersen},
  NUMBER = {6},
  PAGES = {913--932},
  TITLE = {Brownian motion and analytic functions},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR548889},
  VOLUME = {7},
  YEAR = {1979}
}

@ARTICLE{Dav6,
  AUTHOR = {Davis, Burgess},
  CODEN = {TAMTAM},
  FJOURNAL = {Transactions of the American Mathematical Society},
  ISSN = {0002-9947},
  JOURNAL = {Trans. Amer. Math. Soc.},
  MRCLASS = {42A50 (30D55 42A61 42B30 60G46 60J65)},
  MRNUMBER = {MR576872 (81h:42011)},
  MRREVIEWER = {Albert Baernstein, II},
  NUMBER = {1},
  PAGES = {211--233},
  TITLE = {Hardy spaces and rearrangements},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR576872},
  VOLUME = {261},
  YEAR = {1980}
}

@BOOK{Del-Mey,
  ADDRESS = {Amsterdam},
  AUTHOR = {Dellacherie, Claude and Meyer, Paul-Andr{\'e}},
  ISBN = {0-444-86526-8},
  MRCLASS = {60-02 (31-02 60Gxx 60H05)},
  MRNUMBER = {MR745449 (85e:60001)},
  PAGES = {xvii+463},
  PUBLISHER = {North-Holland Publishing Co.},
  SERIES = {North-Holland Mathematics Studies},
  TITLE = {Probabilities and potential. {B}},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR745449},
  VOLUME = {72},
  YEAR = {1982}
}

@ARTICLE{donaldson1,
  AUTHOR = {Donaldson, S. K. and Sullivan, D. P.},
  CODEN = {ACMAA8},
  FJOURNAL = {Acta Mathematica},
  ISSN = {0001-5962},
  JOURNAL = {Acta Math.},
  MRCLASS = {57N13 (53C20 58D29)},
  MRNUMBER = {MR1032074 (91d:57012)},
  MRREVIEWER = {L. Guillou},
  NUMBER = {3-4},
  PAGES = {181--252},
  TITLE = {Quasiconformal {$4$}-manifolds},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1032074},
  VOLUME = {163},
  YEAR = {1989}
}

@BOOK{Doob,
  ADDRESS = {New York},
  AUTHOR = {Doob, J. L.},
  MRCLASS = {60.0X},
  MRNUMBER = {MR0058896 (15,445b)},
  MRREVIEWER = {D. G. Kendall},
  PAGES = {viii+654},
  PUBLISHER = {John Wiley \& Sons Inc.},
  TITLE = {Stochastic processes},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR0058896},
  YEAR = {1953}
}

@ARTICLE{Dra-vol1,
  AUTHOR = {Dragi{\v{c}}evi{\'c}, Oliver and Volberg, Alexander and},
  FJOURNAL = {The Michigan Mathematical Journal},
  ISSN = {0026-2285},
  JOURNAL = {Michigan Math. J.},
  MRCLASS = {42B20 (47G10)},
  MRNUMBER = {MR1992955 (2004c:42030)},
  MRREVIEWER = {Alexei Yu. Karlovich},
  NUMBER = {2},
  PAGES = {415--435},
  TITLE = {Sharp estimate of the {A}hlfors-{B}eurling operator via averaging martingale transforms},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1992955},
  VOLUME = {51},
  YEAR = {2003}
}

@ARTICLE{Dra-vol2,
  AUTHOR = {O. Dragi\v cevi\'c and A. Volberg},
  TITLE = {Bellman functions and dimensionelss estimates of Riesz transforms, preprint}
}

@ARTICLE{Dra-vol3,
  AUTHOR = {O. Dragi\v cevi\'c and A. Volberg},
  TITLE = {Bellman functions, Littlewood--Paley estiamtes and asymptotics for the Ahlfors--Beurling operator in $L^p(\bC)$, preprint}
}

@BOOK{Duo,
  ADDRESS = {Providence, RI},
  AUTHOR = {Duoandikoetxea, Javier},
  ISBN = {0-8218-2172-5},
  MRCLASS = {42-01},
  MRNUMBER = {MR1800316 (2001k:42001)},
  MRREVIEWER = {Loukas Grafakos},
  PAGES = {xviii+222},
  PUBLISHER = {American Mathematical Society},
  SERIES = {Graduate Studies in Mathematics},
  TITLE = {Fourier analysis},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1800316},
  VOLUME = {29},
  YEAR = {2001}
}

@ARTICLE{DuoRub,
  AUTHOR = {Duoandikoetxea, Javier and Rubio de Francia, Jos{\'e} L.},
  CODEN = {CASMEI},
  FJOURNAL = {Comptes Rendus des S\'eances de l'Acad\'emie des Sciences. S\'erie I. Math\'ematique},
  ISSN = {0249-6291},
  JOURNAL = {C. R. Acad. Sci. Paris S\'er. I Math.},
  MRCLASS = {42B20},
  MRNUMBER = {MR780616 (86e:42028)},
  MRREVIEWER = {Gerald B. Folland},
  NUMBER = {7},
  PAGES = {193--196},
  TITLE = {Estimations ind\'ependantes de la dimension pour les transform\'ees de {R}iesz},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR780616},
  VOLUME = {300},
  YEAR = {1985}
}

@BOOK{durrett1,
  ADDRESS = {Belmont, CA},
  AUTHOR = {Durrett, Richard},
  ISBN = {0-534-03065-3},
  MRCLASS = {60G46 (31B05 35-02 42Bxx 46N05 60J65)},
  MRNUMBER = {MR750829 (87a:60054)},
  MRREVIEWER = {Terry R. McConnell},
  PAGES = {xi+328},
  PUBLISHER = {Wadsworth International Group},
  SERIES = {Wadsworth Mathematics Series},
  TITLE = {Brownian motion and martingales in analysis},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR750829},
  YEAR = {1984}
}

@ARTICLE{eremenko1,
  AUTHOR = {Er{\"e}menko, A. and Hamilton, D. H.},
  CODEN = {PAMYAR},
  FJOURNAL = {Proceedings of the American Mathematical Society},
  ISSN = {0002-9939},
  JOURNAL = {Proc. Amer. Math. Soc.},
  MRCLASS = {30C62},
  MRNUMBER = {MR1283548 (96g:30044)},
  NUMBER = {9},
  PAGES = {2793--2797},
  TITLE = {On the area distortion by quasiconformal mappings},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1283548},
  VOLUME = {123},
  YEAR = {1995}
}

@ARTICLE{Es,
  AUTHOR = {M. Ess\'en},
  DATE-MODIFIED = {2006-02-20 16:29:16 -0500},
  JOURNAL = {Report No. 43 Instit Mittag-Leffler},
  TITLE = {On sharp constants in the weak--type (p,p)-inequalities, $2

@INCOLLECTION{Fab,
  ADDRESS = {Berlin},
  AUTHOR = {Fabes, E. B.},
  BOOKTITLE = {Dirichlet forms (Varenna, 1992)},
  MRCLASS = {35K10 (35A08 35B05 58G11)},
  MRNUMBER = {MR1292275 (95j:35096)},
  MRREVIEWER = {Yehuda Pinchover},
  PAGES = {1--20},
  PUBLISHER = {Springer},
  SERIES = {Lecture Notes in Math.},
  TITLE = {Gaussian upper bounds on fundamental solutions of parabolic equations; the method of {N}ash},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1292275},
  VOLUME = {1563},
  YEAR = {1993}
}

@ARTICLE{Fa-Gu-Sc,
  AUTHOR = {Fabes, Eugene B. and Guti{\'e}rrez, Cristian E. and Scotto, Roberto},
  FJOURNAL = {Revista Matem\'atica Iberoamericana},
  ISSN = {0213-2230},
  JOURNAL = {Rev. Mat. Iberoamericana},
  MRCLASS = {42B20 (46N30 60G15)},
  MRNUMBER = {MR1286476 (95m:42023)},
  MRREVIEWER = {B. Muckenhoupt},
  NUMBER = {2},
  PAGES = {229--281},
  TITLE = {Weak-type estimates for the {R}iesz transforms associated with the {G}aussian measure},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1286476},
  VOLUME = {10},
  YEAR = {1994}
}

@ARTICLE{Fa-M-M,
  AUTHOR = {Fabes, Eugene and Mitrea, Irina and Mitrea, Marius},
  CODEN = {PJMAAI},
  FJOURNAL = {Pacific Journal of Mathematics},
  ISSN = {0030-8730},
  JOURNAL = {Pacific J. Math.},
  MRCLASS = {42B20 (47G10)},
  MRNUMBER = {MR1687806 (2000c:42018)},
  MRREVIEWER = {Bi Yun Yao},
  NUMBER = {1},
  PAGES = {21--29},
  TITLE = {On the boundedness of singular integrals},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1687806},
  VOLUME = {189},
  YEAR = {1999}
}

@INPROCEEDINGS{Fef,
  AUTHOR = {Fefferman, Charles},
  BOOKTITLE = {Proceedings of the International Congress of Mathematicians (Vancouver, B.C., 1974), Vol. 1},
  MRCLASS = {42-02},
  MRNUMBER = {MR0510853 (58 \#23308)},
  PAGES = {95--118},
  PUBLISHER = {Canad. Math. Congress, Montreal, Que.},
  TITLE = {Recent progress in classical {F}ourier analysis},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR0510853},
  YEAR = {1975}
}

@ARTICLE{Fi-Ew-Pe,
  AUTHOR = {Figiel, T. and Iwaniec, T. and Pe{\l}czy{\'n}ski, A.},
  CODEN = {SMATAZ},
  FJOURNAL = {Polska Akademia Nauk. Instytut Matematyczny. Studia Mathematica},
  ISSN = {0039-3223},
  JOURNAL = {Studia Math.},
  MRCLASS = {46B25 (46E30)},
  MRNUMBER = {MR781720 (86m:46018)},
  NUMBER = {3},
  PAGES = {227--274},
  TITLE = {Computing norms and critical exponents of some operators in {$L\sp p$}-spaces},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR781720},
  VOLUME = {79},
  YEAR = {1984}
}

@INPROCEEDINGS{Fo-Ma-Sc,
  ADDRESS = {Bah\'\i a Blanca},
  AUTHOR = {Forzani, L. and Mac{\'{\i}}as, R. and Scotto, R.},
  BOOKTITLE = {Proceedings of the Seventh ``Dr.\ Antonio A. R.\ Monteiro'' Congress of Mathematics (Spanish)},
  MRCLASS = {47D06 (42B25 60J35)},
  MRNUMBER = {MR2088709 (2005f:47098)},
  MRREVIEWER = {Elisabetta M. Mangino},
  PAGES = {101--114},
  PUBLISHER = {Univ. Nac. del Sur},
  TITLE = {Pointwise convergence of the {O}rnstein-{U}hlenbeck semigroup},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR2088709},
  YEAR = {2003}
}

@ARTICLE{Fo-Sc,
  AUTHOR = {Forzani, Liliana and Scotto, Roberto},
  FJOURNAL = {Studia Mathematica},
  ISSN = {0039-3223},
  JOURNAL = {Studia Math.},
  MRCLASS = {42B25 (42C10 47D03 60H99)},
  MRNUMBER = {MR1644460 (99h:42034)},
  MRREVIEWER = {B. S. Rubin},
  NUMBER = {3},
  PAGES = {205--214},
  TITLE = {The higher order {R}iesz transform for {G}aussian measure need not be of weak type {$(1,1)$}},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1644460},
  VOLUME = {131},
  YEAR = {1998}
}

@ARTICLE{FSSU,
  AUTHOR = {Forzani, Liliana and Scotto, Roberto and Sj{\"o}gren, Peter and Urbina, Wilfredo},
  CODEN = {PAMYAR},
  FJOURNAL = {Proceedings of the American Mathematical Society},
  ISSN = {0002-9939},
  JOURNAL = {Proc. Amer. Math. Soc.},
  MRCLASS = {42B25 (60H99)},
  MRNUMBER = {MR1855622 (2002g:42023)},
  MRREVIEWER = {Oscar Blasco},
  NUMBER = {1},
  PAGES = {73--79 (electronic)},
  TITLE = {On the {$L\sp p$} boundedness of the non-centered {G}aussian {H}ardy-{L}ittlewood maximal function},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1855622},
  VOLUME = {130},
  YEAR = {2002}
}

@ARTICLE{Fo-Sc-Ur1,
  AUTHOR = {Forzani, Liliana and Scotto, Roberto and Urbina, Wilfredo},
  CODEN = {RMAFAG},
  FJOURNAL = {Revista de la Uni\'on Matem\'atica Argentina},
  ISSN = {0041-6932},
  JOURNAL = {Rev. Un. Mat. Argentina},
  MRCLASS = {42B20 (31B15 42C10 46G12 47B38 60H99)},
  MRNUMBER = {MR1852728 (2002h:42022)},
  MRREVIEWER = {Cristian E. Guti{\'e}rrez},
  NUMBER = {1},
  PAGES = {17--37 (2001)},
  TITLE = {Riesz and {B}essel potentials, the {$g\sp k$} functions and an area function for the {G}aussian measure {$\gamma$}},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1852728},
  VOLUME = {42},
  YEAR = {2000}
}

@INCOLLECTION{Fo-Sc-Ur2,
  ADDRESS = {Berlin},
  AUTHOR = {Forzani, Liliana and Scotto, Roberto and Urbina, Wilfredo},
  BOOKTITLE = {S\'eminaire de Probabilit\'es, XXXV},
  MRCLASS = {42B20 (35A22 47F05 60G15)},
  MRNUMBER = {MR1837285 (2002c:42019)},
  PAGES = {162--166},
  PUBLISHER = {Springer},
  SERIES = {Lecture Notes in Math.},
  TITLE = {A simple proof of the {$L\sp p$} continuity of the higher order {R}iesz transforms with respect to the {G}aussian measure {$\gamma\sb d$}},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1837285},
  VOLUME = {1755},
  YEAR = {2001}
}

@BOOK{Gar-Rub,
  ADDRESS = {Amsterdam},
  AUTHOR = {Garc{\'{\i}}a-Cuerva, Jos{\'e} and Rubio de Francia, Jos{\'e} L.},
  ISBN = {0-444-87804-1},
  MRCLASS = {42B20 (42B25 46Exx 47B38)},
  MRNUMBER = {MR807149 (87d:42023)},
  MRREVIEWER = {Kenneth F. Andersen},
  PAGES = {x+604},
  PUBLISHER = {North-Holland Publishing Co.},
  SERIES = {North-Holland Mathematics Studies},
  TITLE = {Weighted norm inequalities and related topics},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR807149},
  VOLUME = {116},
  YEAR = {1985}
}

@ARTICLE{Gehr,
  AUTHOR = {F. W. Gehring},
  JOURNAL = {Acad. Soc. Rep. Romania, Bucharest (1969), 306},
  TITLE = {``Open problems'' in Proceedings of the Romanian-Finnish Seminar on Teichmuller Spaces and Quasiconformal Mappings (Brasov, Romania)}
}

@ARTICLE{Gehr1,
  AUTHOR = {Gehring, F. W.},
  FJOURNAL = {Acta Mathematica},
  ISSN = {0001-5962},
  JOURNAL = {Acta Math.},
  MRCLASS = {30A60},
  MRNUMBER = {MR0402038 (53 \#5861)},
  MRREVIEWER = {P. Caraman},
  PAGES = {265--277},
  TITLE = {The {$L\sp{p}$}-integrability of the partial derivatives of a quasiconformal mapping},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR0402038},
  VOLUME = {130},
  YEAR = {1973}
}

@INPROCEEDINGS{Gehr2,
  ADDRESS = {Providence, RI},
  AUTHOR = {Gehring, F. W.},
  BOOKTITLE = {Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Berkeley, Calif., 1986)},
  MRCLASS = {30C60 (30-02)},
  MRNUMBER = {MR934216 (89c:30051)},
  MRREVIEWER = {Matti Vuorinen},
  PAGES = {62--80},
  PUBLISHER = {Amer. Math. Soc.},
  TITLE = {Topics in quasiconformal mappings},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR934216},
  YEAR = {1987}
}

@ARTICLE{Gehr-Rei,
  AUTHOR = {Gehring, F. W. and Reich, E.},
  JOURNAL = {Ann. Acad. Sci. Fenn. Ser. A I No.},
  MRCLASS = {30.47},
  MRNUMBER = {MR0201635 (34 \#1517)},
  MRREVIEWER = {C. Earle},
  PAGES = {15},
  TITLE = {Area distortion under quasiconformal mappings},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR0201635},
  VOLUME = {388},
  YEAR = {1966}
}

@ARTICLE{Gi-To,
  AUTHOR = {Gillespie, T. A. and Torrea, Jos{\'e} L. and},
  CODEN = {ISJMAP},
  FJOURNAL = {Israel Journal of Mathematics},
  ISSN = {0021-2172},
  JOURNAL = {Israel J. Math.},
  MRCLASS = {47B38 (42B25 47A35)},
  MRNUMBER = {MR2063029 (2005e:47085)},
  MRREVIEWER = {James T. Campbell},
  PAGES = {125--144},
  TITLE = {Dimension free estimates for the oscillation of {R}iesz transforms},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR2063029},
  VOLUME = {141},
  YEAR = {2004}
}

@ARTICLE{Gra1,
  AUTHOR = {Grafakos, Loukas},
  CODEN = {PAMYAR},
  FJOURNAL = {Proceedings of the American Mathematical Society},
  ISSN = {0002-9939},
  JOURNAL = {Proc. Amer. Math. Soc.},
  MRCLASS = {42B30},
  MRNUMBER = {MR1403130 (97m:42017)},
  MRREVIEWER = {Richard Rochberg},
  NUMBER = {11},
  PAGES = {3279--3288},
  TITLE = {{$H\sp 1$} boundedness of determinants of vector fields},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1403130},
  VOLUME = {125},
  YEAR = {1997}
}

@ARTICLE{Gra2,
  AUTHOR = {Grafakos, Loukas},
  FJOURNAL = {Mathematical Research Letters},
  ISSN = {1073-2780},
  JOURNAL = {Math. Res. Lett.},
  MRCLASS = {42A50 (44A15)},
  MRNUMBER = {MR1470418 (98m:42008)},
  MRREVIEWER = {Kenneth F. Andersen},
  NUMBER = {4},
  PAGES = {469--471},
  TITLE = {Best bounds for the {H}ilbert transform on {$L\sp p({\bf R}\sp 1)$}},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1470418},
  VOLUME = {4},
  YEAR = {1997}
}

@ARTICLE{Gra3,
  AUTHOR = {Grafakos, Loukas},
  CODEN = {CQMAAQ},
  FJOURNAL = {Colloquium Mathematicum},
  ISSN = {0010-1354},
  JOURNAL = {Colloq. Math.},
  MRCLASS = {42B20 (42B25 47G10)},
  MRNUMBER = {MR2010352 (2004m:42013)},
  MRREVIEWER = {B. Muckenhoupt},
  NUMBER = {2},
  PAGES = {167--177},
  TITLE = {Estimates for maximal singular integrals},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR2010352},
  VOLUME = {96},
  YEAR = {2003}
}

@BOOK{Gra4,
  AUTHOR = {L. Grafakos},
  PUBLISHER = {Pearson Education, Inc., New Jersey},
  TITLE = {Classical and Modern Fourier Analysis},
  YEAR = {2004}
}

@ARTICLE{Gr-Ka,
  AUTHOR = {Grafakos, Loukas and Kalton, Nigel},
  CODEN = {MAANA},
  FJOURNAL = {Mathematische Annalen},
  ISSN = {0025-5831},
  JOURNAL = {Math. Ann.},
  MRCLASS = {46E30 (46M35)},
  MRNUMBER = {MR1812822 (2002a:46032)},
  MRREVIEWER = {Javier Soria},
  NUMBER = {1},
  PAGES = {151--180},
  TITLE = {Some remarks on multilinear maps and interpolation},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1812822},
  VOLUME = {319},
  YEAR = {2001}
}

@ARTICLE{Gr-Ki,
  AUTHOR = {Grafakos, L. and Kinnunen, J.},
  CODEN = {PEAMDU},
  FJOURNAL = {Proceedings of the Royal Society of Edinburgh. Section A. Mathematics},
  ISSN = {0308-2105},
  JOURNAL = {Proc. Roy. Soc. Edinburgh Sect. A},
  MRCLASS = {42B25 (26D15)},
  MRNUMBER = {MR1635412 (99g:42020)},
  MRREVIEWER = {Kenneth F. Andersen},
  NUMBER = {4},
  PAGES = {717--723},
  TITLE = {Sharp inequalities for maximal functions associated with general measures},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1635412},
  VOLUME = {128},
  YEAR = {1998}
}

@ARTICLE{Gr-Li,
  AUTHOR = {Grafakos, Loukas and Li, Xiaochun and},
  CODEN = {ANMAAH},
  FJOURNAL = {Annals of Mathematics. Second Series},
  ISSN = {0003-486X},
  JOURNAL = {Ann. of Math. (2)},
  MRCLASS = {42A50 (47G10)},
  MRNUMBER = {MR2113017},
  MRREVIEWER = {Ahmed I. Zayed},
  NUMBER = {3},
  PAGES = {889--933},
  TITLE = {Uniform bounds for the bilinear {H}ilbert transforms. {I}},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR2113017},
  VOLUME = {159},
  YEAR = {2004}
}

@ARTICLE{Gr-Mo,
  AUTHOR = {Grafakos, Loukas and Montgomery-Smith, Stephen},
  CODEN = {LMSBBT},
  FJOURNAL = {The Bulletin of the London Mathematical Society},
  ISSN = {0024-6093},
  JOURNAL = {Bull. London Math. Soc.},
  MRCLASS = {42B25},
  MRNUMBER = {MR1416408 (98b:42031)},
  MRREVIEWER = {Charles N. Moore},
  NUMBER = {1},
  PAGES = {60--64},
  TITLE = {Best constants for uncentred maximal functions},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1416408},
  VOLUME = {29},
  YEAR = {1997}
}

@ARTICLE{Gr-Mo-Mo,
  AUTHOR = {Grafakos, Loukas and Montgomery-Smith, Stephen and Motrunich, Olexei},
  FJOURNAL = {Studia Mathematica},
  ISSN = {0039-3223},
  JOURNAL = {Studia Math.},
  MRCLASS = {42B25},
  MRNUMBER = {MR1688215 (2000b:42015)},
  MRREVIEWER = {Wo-Sang Young},
  NUMBER = {1},
  PAGES = {57--67},
  TITLE = {A sharp estimate for the {H}ardy-{L}ittlewood maximal function},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1688215},
  VOLUME = {134},
  YEAR = {1999}
}

@ARTICLE{Gr-St,
  AUTHOR = {Grafakos, Loukas and Stefanov, Atanas},
  CODEN = {IUMJAB},
  FJOURNAL = {Indiana University Mathematics Journal},
  ISSN = {0022-2518},
  JOURNAL = {Indiana Univ. Math. J.},
  MRCLASS = {42B20 (42B30)},
  MRNUMBER = {MR1647912 (99i:42019)},
  MRREVIEWER = {Donald Krug},
  NUMBER = {2},
  PAGES = {455--469},
  TITLE = {{$L\sp p$} bounds for singular integrals and maximal singular integrals with rough kernels},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1647912},
  VOLUME = {47},
  YEAR = {1998}
}

@ARTICLE{Gr-Ta,
  AUTHOR = {Grafakos, Loukas and Tao, Terence},
  CODEN = {JFUAAW},
  FJOURNAL = {Journal of Functional Analysis},
  ISSN = {0022-1236},
  JOURNAL = {J. Funct. Anal.},
  MRCLASS = {42B05 (46M35)},
  MRNUMBER = {MR1971257 (2004b:42022)},
  MRREVIEWER = {Lanzhe Liu},
  NUMBER = {2},
  PAGES = {379--385},
  TITLE = {Multilinear interpolation between adjoint operators},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1971257},
  VOLUME = {199},
  YEAR = {2003}
}

@ARTICLE{Gr-Ta-Te,
  AUTHOR = {Grafakos, Loukas and Tao, Terence and Terwilleger, Erin},
  CODEN = {MAZEAX},
  FJOURNAL = {Mathematische Zeitschrift},
  ISSN = {0025-5874},
  JOURNAL = {Math. Z.},
  MRCLASS = {42A20 (42A24)},
  MRNUMBER = {MR2031458 (2005a:42003)},
  MRREVIEWER = {Walter R. Bloom},
  NUMBER = {1-2},
  PAGES = {321--337},
  TITLE = {{$L\sp p$} bounds for a maximal dyadic sum operator},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR2031458},
  VOLUME = {246},
  YEAR = {2004}
}

@ARTICLE{Gr-To1,
  AUTHOR = {Grafakos, Loukas and Torres, Rodolfo H.},
  CODEN = {IUMJAB},
  FJOURNAL = {Indiana University Mathematics Journal},
  ISSN = {0022-2518},
  JOURNAL = {Indiana Univ. Math. J.},
  MRCLASS = {42B25},
  MRNUMBER = {MR1947875 (2003j:42020)},
  MRREVIEWER = {Donald Krug},
  NUMBER = {5},
  PAGES = {1261--1276},
  TITLE = {Maximal operator and weighted norm inequalities for multilinear singular integrals},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1947875},
  VOLUME = {51},
  YEAR = {2002}
}

@ARTICLE{Gr-To2,
  AUTHOR = {Grafakos, Loukas and Torres, Rodolfo H.},
  FJOURNAL = {Publicacions Matem\`atiques},
  ISSN = {0214-1493},
  JOURNAL = {Publ. Mat.},
  MRCLASS = {42B20 (46B70 46E30 47G30)},
  MRNUMBER = {MR1964816 (2004c:42031)},
  MRREVIEWER = {Xavier Tolsa},
  NUMBER = {Vol. Extra},
  PAGES = {57--91},
  TITLE = {On multilinear singular integrals of {C}alder\'on-{Z}ygmund type},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1964816},
  YEAR = {2002}
}

@ARTICLE{Gun1,
  AUTHOR = {Gundy, Richard F.},
  JOURNAL = {Ann. Math. Statist},
  MRCLASS = {60.40},
  MRNUMBER = {MR0215353 (35 \#6194)},
  MRREVIEWER = {L. L. Helms},
  PAGES = {725--734},
  TITLE = {The martingale version of a theorem of {M}arcinkiewicz and {Z}ygmund},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR0215353},
  VOLUME = {38},
  YEAR = {1967}
}

@INCOLLECTION{Gun2,
  ADDRESS = {Carbondale, Ill.},
  AUTHOR = {Gundy, Richard F.},
  BOOKTITLE = {Orthogonal Expansions and their Continuous Analogues (Proc. Conf., Edwardsville, Ill., 1967)},
  MRCLASS = {42.16 (33.00)},
  MRNUMBER = {MR0232152 (38 \#478)},
  MRREVIEWER = {J. J. Price},
  PAGES = {99--102},
  PUBLISHER = {Southern Illinois Univ. Press},
  TITLE = {On a class of martingale series},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR0232152},
  YEAR = {1968}
}

@ARTICLE{Gun3,
  AUTHOR = {Gundy, Richard F.},
  JOURNAL = {Ann. Math. Statist.},
  MRCLASS = {60.40},
  MRNUMBER = {MR0221573 (36 \#4625)},
  MRREVIEWER = {D. L. Burkholder},
  PAGES = {134--138},
  TITLE = {A decomposition for {$L\sp{1}$}-bounded martingales},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR0221573},
  VOLUME = {39},
  YEAR = {1968}
}

@ARTICLE{Gun4,
  AUTHOR = {Gundy, Richard F.},
  FJOURNAL = {Polska Akademia Nauk. Instytut Matematyczny. Studia Mathematica},
  ISSN = {0039-3223},
  JOURNAL = {Studia Math.},
  MRCLASS = {60.30},
  MRNUMBER = {MR0243588 (39 \#4909)},
  MRREVIEWER = {R. M. Dudley},
  PAGES = {109--118},
  TITLE = {On the class {$L\,{\rm log}\,L$}, martingales, and singular integrals},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR0243588},
  VOLUME = {33},
  YEAR = {1969}
}

@INCOLLECTION{Gun5,
  ADDRESS = {Berlin},
  AUTHOR = {Gundy, R. F.},
  BOOKTITLE = {Eighth Saint Flour Probability Summer School---1978 (Saint Flour, 1978)},
  MRCLASS = {60G46 (32A35 42B30)},
  MRNUMBER = {MR590628 (82g:60059)},
  MRREVIEWER = {Aline Bonami},
  PAGES = {251--334},
  PUBLISHER = {Springer},
  SERIES = {Lecture Notes in Math.},
  TITLE = {In\'egalit\'es pour martingales \`a un et deux indices: l'espace {$H\sp{p}$}},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR590628},
  VOLUME = {774},
  YEAR = {1980}
}

@INCOLLECTION{Gun6,
  ADDRESS = {Berlin},
  AUTHOR = {Gundy, R. F.},
  BOOKTITLE = {Harmonic analysis, Iraklion 1978 (Proc. Conf., Univ. Crete, Iraklion, 1978)},
  MRCLASS = {32A35 (42B25)},
  MRNUMBER = {MR571498 (81h:32008)},
  MRREVIEWER = {Sun Yung A. Chang},
  PAGES = {51--58},
  PUBLISHER = {Springer},
  SERIES = {Lecture Notes in Math.},
  TITLE = {Maximal function characterization of {$H\sp{p}$} for the bidisc},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR571498},
  VOLUME = {781},
  YEAR = {1980}
}

@ARTICLE{Gun7,
  AUTHOR = {Gundy, Richard F.},
  CODEN = {CASMEI},
  FJOURNAL = {Comptes Rendus des S\'eances de l'Acad\'emie des Sciences. S\'erie I. Math\'ematique},
  ISSN = {0249-6291},
  JOURNAL = {C. R. Acad. Sci. Paris S\'er. I Math.},
  MRCLASS = {60H07 (47A35 60J60)},
  MRNUMBER = {MR877182 (88c:60108)},
  NUMBER = {19},
  PAGES = {967--970},
  TITLE = {Sur les transformations de {R}iesz pour le semi-groupe d'{O}rnstein-{U}hlenbeck},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR877182},
  VOLUME = {303},
  YEAR = {1986}
}

@BOOK{Gun8,
  AUTHOR = {Gundy, Richard F.},
  ISBN = {0-8218-0721-8},
  MRCLASS = {60G46 (60J65)},
  MRNUMBER = {MR995461 (91c:60059)},
  MRREVIEWER = {Martin L. Silverstein},
  PAGES = {vi+49},
  PUBLISHER = {Published for the Conference Board of the Mathematical Sciences, Washington, DC},
  SERIES = {CBMS Regional Conference Series in Mathematics},
  TITLE = {Some topics in probability and analysis},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR995461},
  VOLUME = {70},
  YEAR = {1989}
}

@ARTICLE{Gun9,
  AUTHOR = {Gundy, R. F.},
  CODEN = {JFUAAW},
  FJOURNAL = {Journal of Functional Analysis},
  ISSN = {0022-1236},
  JOURNAL = {J. Funct. Anal.},
  MRCLASS = {60G46 (42B25)},
  MRNUMBER = {MR1025887 (91c:60058)},
  MRREVIEWER = {Andrew Bennett},
  NUMBER = {1},
  PAGES = {212--230},
  TITLE = {Some martingale inequalities with applications to harmonic analysis},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1025887},
  VOLUME = {87},
  YEAR = {1989}
}

@INCOLLECTION{Gu-Si1,
  ADDRESS = {Berlin},
  AUTHOR = {Gundy, Richard F. and Silverstein, Martin L.},
  BOOKTITLE = {Functional analysis in Markov processes (Katata/Kyoto, 1981)},
  MRCLASS = {42A50 (60J65)},
  MRNUMBER = {MR661625 (84b:42012)},
  MRREVIEWER = {Gunter Ritter},
  PAGES = {199--203},
  PUBLISHER = {Springer},
  SERIES = {Lecture Notes in Math.},
  TITLE = {On a probabilistic interpretation for the {R}iesz transforms},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR661625},
  VOLUME = {923},
  YEAR = {1982}
}

@ARTICLE{Gu-Si2,
  AUTHOR = {Gundy, R. F. and Silverstein, M. L.},
  CODEN = {AIFUA7},
  FJOURNAL = {Universit\'e de Grenoble. Annales de l'Institut Fourier},
  ISSN = {0373-0956},
  JOURNAL = {Ann. Inst. Fourier (Grenoble)},
  MRCLASS = {26B15 (42B25 60J65)},
  MRNUMBER = {MR781786 (86e:26012)},
  MRREVIEWER = {Alberto Torchinsky},
  NUMBER = {1},
  PAGES = {215--229},
  TITLE = {The density of the area integral in {${\bf R}\sp {n+1}\sb +$}},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR781786},
  VOLUME = {35},
  YEAR = {1985}
}

@ARTICLE{Gun-Var1,
  AUTHOR = {Gundy, R. F. and Varopoulos, N. Th.},
  FJOURNAL = {Arkiv f\"or Matematik},
  ISSN = {0004-2080},
  JOURNAL = {Ark. Mat.},
  MRCLASS = {60G45},
  MRNUMBER = {MR0448539 (56 \#6845)},
  MRREVIEWER = {J. A. Chao},
  NUMBER = {2},
  PAGES = {179--187},
  TITLE = {A martingale that occurs in harmonic analysis},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR0448539},
  VOLUME = {14},
  YEAR = {1976}
}

@ARTICLE{Gun-Var2,
  AUTHOR = {Gundy, Richard F. and Varopoulos, Nicolas Th. and},
  CODEN = {CHASAP},
  FJOURNAL = {Comptes Rendus Hebdomadaires des S\'eances de l'Acad\'emie des Sciences. S\'eries A et B},
  ISSN = {0151-0509},
  JOURNAL = {C. R. Acad. Sci. Paris S\'er. A-B},
  MRCLASS = {60H05 (60J65)},
  MRNUMBER = {MR545671 (82e:60089)},
  MRREVIEWER = {Maurizio Pratelli},
  NUMBER = {1},
  PAGES = {A13--A16},
  TITLE = {Les transformations de {R}iesz et les int\'egrales stochastiques},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR545671},
  VOLUME = {289},
  YEAR = {1979}
}

@ARTICLE{Gut,
  AUTHOR = {Guti{\'e}rrez, Cristian E.},
  CODEN = {JFUAAW},
  FJOURNAL = {Journal of Functional Analysis},
  ISSN = {0022-1236},
  JOURNAL = {J. Funct. Anal.},
  MRCLASS = {35A22 (35J15 47N20 60G99)},
  MRNUMBER = {MR1262249 (95c:35013)},
  MRREVIEWER = {Kazuaki Taira},
  NUMBER = {1},
  PAGES = {107--134},
  TITLE = {On the {R}iesz transforms for {G}aussian measures},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1262249},
  VOLUME = {120},
  YEAR = {1994}
}

@ARTICLE{Gut-Se-To,
  AUTHOR = {Guti{\'e}rrez, Cristian E. and Segovia, Carlos and Torrea, Jos{\'e} Luis and},
  FJOURNAL = {The Journal of Fourier Analysis and Applications},
  ISSN = {1069-5869},
  JOURNAL = {J. Fourier Anal. Appl.},
  MRCLASS = {42B20 (35J99 42B25 42C10)},
  MRNUMBER = {MR1423529 (98m:42017)},
  MRREVIEWER = {B. Muckenhoupt},
  NUMBER = {6},
  PAGES = {583--596},
  TITLE = {On higher {R}iesz transforms for {G}aussian measures},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1423529},
  VOLUME = {2},
  YEAR = {1996}
}

@ARTICLE{Ha-Ma-Me-To,
  AUTHOR = {Harboure, E. and Mac{\'{\i}}as, R. A. and Men{\'a}rguez, M. T. and Torrea, J. L. and},
  CODEN = {PEAMDU},
  FJOURNAL = {Proceedings of the Royal Society of Edinburgh. Section A. Mathematics},
  ISSN = {0308-2105},
  JOURNAL = {Proc. Roy. Soc. Edinburgh Sect. A},
  MRCLASS = {42B10 (44A15 47B38)},
  MRNUMBER = {MR2119842 (2005k:42030)},
  NUMBER = {1},
  PAGES = {85--104},
  TITLE = {Oscillation and variation for the {G}aussian {R}iesz transforms and {P}oisson integral},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR2119842},
  VOLUME = {135},
  YEAR = {2005}
}

@ARTICLE{Ha-Ro-Se-To,
  AUTHOR = {Harboure, E. and de Rosa, L. and Segovia, C. and Torrea, J. L. and},
  CODEN = {MAANA},
  FJOURNAL = {Mathematische Annalen},
  ISSN = {0025-5831},
  JOURNAL = {Math. Ann.},
  MRCLASS = {42B20 (42B25 42C10)},
  MRNUMBER = {MR2047645 (2006a:42017)},
  NUMBER = {4},
  PAGES = {653--682},
  TITLE = {{$L\sp p$}-dimension free boundedness for {R}iesz transforms associated to {H}ermite functions},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR2047645},
  VOLUME = {328},
  YEAR = {2004}
}

@ARTICLE{Ha-To-Vi,
  AUTHOR = {Harboure, E. and Torrea, J. L. and and Viviani, B.},
  CODEN = {JOAMAV},
  FJOURNAL = {Journal d'Analyse Math\'ematique},
  ISSN = {0021-7670},
  JOURNAL = {J. Anal. Math.},
  MRCLASS = {47D07 (42B25 46B99 60J35)},
  MRNUMBER = {MR2037400 (2004m:47095)},
  MRREVIEWER = {Oscar Blasco},
  PAGES = {1--29},
  TITLE = {Vector-valued extensions of operators related to the {O}rnstein-{U}hlenbeck semigroup},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR2037400},
  VOLUME = {91},
  YEAR = {2003}
}

@ARTICLE{Hor,
  AUTHOR = {H{\"o}rmander, Lars},
  FJOURNAL = {Acta Mathematica},
  ISSN = {0001-5962},
  JOURNAL = {Acta Math.},
  MRCLASS = {46.00 (42.00)},
  MRNUMBER = {MR0121655 (22 \#12389)},
  MRREVIEWER = {I. I. Hirschman, Jr.},
  PAGES = {93--140},
  TITLE = {Estimates for translation invariant operators in {$L\sp{p}$}\ spaces},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR0121655},
  VOLUME = {104},
  YEAR = {1960}
}

@ARTICLE{Iw1,
  AUTHOR = {Iwaniec, T.},
  FJOURNAL = {Zeitschrift f\"ur Analysis und ihre Anwendungen},
  ISSN = {0232-2064},
  JOURNAL = {Z. Anal. Anwendungen},
  MRCLASS = {30C60 (30C75 46E35)},
  MRNUMBER = {MR719167 (85g:30027)},
  MRREVIEWER = {V. M. Gol{\cprime}dshte{\u\i}n},
  NUMBER = {6},
  PAGES = {1--16},
  TITLE = {Extremal inequalities in {S}obolev spaces and quasiconformal mappings},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR719167},
  VOLUME = {1},
  YEAR = {1982}
}

@ARTICLE{Iw2,
  AUTHOR = {Iwaniec, T.},
  FJOURNAL = {The Michigan Mathematical Journal},
  ISSN = {0026-2285},
  JOURNAL = {Michigan Math. J.},
  MRCLASS = {42B20 (30C60 44A15)},
  MRNUMBER = {MR856530 (88b:42024)},
  MRREVIEWER = {H. M. Reimann},
  NUMBER = {3},
  PAGES = {387--394},
  TITLE = {The best constant in a {BMO}-inequality for the {B}eurling-{A}hlfors transform},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR856530},
  VOLUME = {33},
  YEAR = {1986}
}

@ARTICLE{Iw3,
  AUTHOR = {Iwaniec, Tadeusz},
  FJOURNAL = {The Michigan Mathematical Journal},
  ISSN = {0026-2285},
  JOURNAL = {Michigan Math. J.},
  MRCLASS = {42B20 (30C60 30E20 30F30)},
  MRNUMBER = {MR911814 (89a:42025)},
  MRREVIEWER = {A. Hinkkanen},
  NUMBER = {3},
  PAGES = {407--434},
  TITLE = {Hilbert transform in the complex plane and area inequalities for certain quadratic differentials},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR911814},
  VOLUME = {34},
  YEAR = {1987}
}

@INCOLLECTION{Iw4,
  ADDRESS = {Berlin},
  AUTHOR = {Iwaniec, Tadeusz},
  BOOKTITLE = {Quasiconformal space mappings},
  MRCLASS = {30C65},
  MRNUMBER = {MR1187088},
  PAGES = {39--64},
  PUBLISHER = {Springer},
  SERIES = {Lecture Notes in Math.},
  TITLE = {{$L\sp p$}-theory of quasiregular mappings},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1187088},
  VOLUME = {1508},
  YEAR = {1992}
}

@ARTICLE{Iw5,
  AUTHOR = {Iwaniec, Tadeusz},
  CODEN = {TAMTAM},
  FJOURNAL = {Transactions of the American Mathematical Society},
  ISSN = {0002-9947},
  JOURNAL = {Trans. Amer. Math. Soc.},
  MRCLASS = {35J60 (26B10 30C65 30G30 42B20)},
  MRNUMBER = {MR1881026 (2003i:35092)},
  MRREVIEWER = {Albert Baernstein, II},
  NUMBER = {5},
  PAGES = {1961--1995 (electronic)},
  TITLE = {Nonlinear {C}auchy-{R}iemann operators in {${\Bbb R}\sp n$}},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1881026},
  VOLUME = {354},
  YEAR = {2002}
}

@ARTICLE{Iw-Lu,
  AUTHOR = {Iwaniec, Tadeusz and Lutoborski, Adam},
  CODEN = {AVRMAW},
  FJOURNAL = {Archive for Rational Mechanics and Analysis},
  ISSN = {0003-9527},
  JOURNAL = {Arch. Rational Mech. Anal.},
  MRCLASS = {58E35 (46E35 49J10)},
  MRNUMBER = {MR1241286 (95c:58054)},
  NUMBER = {1},
  PAGES = {25--79},
  TITLE = {Integral estimates for null {L}agrangians},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1241286},
  VOLUME = {125},
  YEAR = {1993}
}

@ARTICLE{Iw-Ma1,
  AUTHOR = {Iwaniec, Tadeusz and Martin, Gaven},
  CODEN = {ACMAA8},
  FJOURNAL = {Acta Mathematica},
  ISSN = {0001-5962},
  JOURNAL = {Acta Math.},
  MRCLASS = {30C65},
  MRNUMBER = {MR1208562 (94m:30046)},
  MRREVIEWER = {Matti Vuorinen},
  NUMBER = {1},
  PAGES = {29--81},
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}

@ARTICLE{Iw-Ma2,
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  CODEN = {JRMAA8},
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}

@BOOK{Iw-Ma3,
  ADDRESS = {New York},
  AUTHOR = {Iwaniec, Tadeusz and Martin, Gaven},
  ISBN = {0-19-850929-4},
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  PUBLISHER = {The Clarendon Press Oxford University Press},
  SERIES = {Oxford Mathematical Monographs},
  TITLE = {Geometric function theory and non-linear analysis},
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  YEAR = {2001}
}

@INCOLLECTION{Iw-Ma4,
  ADDRESS = {Canberra},
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  BOOKTITLE = {Geometric analysis and applications (Canberra, 2000)},
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}

@ARTICLE{Iw-MNS,
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  NUMBER = {2},
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  TITLE = {Integrability and removability results for quasiregular mappings in high dimensions},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1319735},
  VOLUME = {75},
  YEAR = {1994}
}

@ARTICLE{Iw-Sb,
  AUTHOR = {Iwaniec, T. and Sbordone, C.},
  CODEN = {JOAMAV},
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  PAGES = {183--212},
  TITLE = {Riesz transforms and elliptic {PDE}s with {VMO} coefficients},
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  VOLUME = {74},
  YEAR = {1998}
}

@ARTICLE{Janak1,
  AUTHOR = {Janakiraman, Prabhu},
  CODEN = {IUMJAB},
  FJOURNAL = {Indiana University Mathematics Journal},
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  NUMBER = {2},
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  TITLE = {Weak-type estimates for singular integrals and the {R}iesz transform},
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  VOLUME = {53},
  YEAR = {2004}
}

@ARTICLE{Janak2,
  AUTHOR = {Janakiraman, Prabhu},
  CODEN = {IJMTAW},
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  TITLE = {Best weak-type {$(p,p)$} constants, {$1\leq p\leq 2$}, for orthogonal harmonic functions and martingales},
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  VOLUME = {48},
  YEAR = {2004}
}

@ARTICLE{Janak3,
  AUTHOR = {P. Janakiraman},
  TITLE = {Limiting weak-type behavior for singular integral and maximal operators. \{Submitted\}}
}

@ARTICLE{Janak4,
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}

@ARTICLE{Jo-Ni,
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@ARTICLE{Jone,
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@INCOLLECTION{Ki-Ma,
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@INCOLLECTION{krupnik1,
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  YEAR = {1994}
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@ARTICLE{Kun-Wat,
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@ARTICLE{Leh1,
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@INCOLLECTION{Leh2,
  ADDRESS = {London},
  AUTHOR = {Lehto, Olli},
  BOOKTITLE = {Symposia Mathematica, Vol. XVIII (Convegno sulle Transformazioni Quasiconformi e Questioni Connesse, INDAM, Rome, 1974)},
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  PAGES = {429--453},
  PUBLISHER = {Academic Press},
  TITLE = {Quasiconformal mappings and singular integrals},
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@BOOK{Leh-Vir,
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  AUTHOR = {Lehto, O. and Virtanen, K. I.},
  MRCLASS = {30A60},
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  PAGES = {viii+258},
  PUBLISHER = {Springer-Verlag},
  TITLE = {Quasiconformal mappings in the plane},
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@ARTICLE{Ma-To1,
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  PAGES = {207--221},
  TITLE = {Boundedness of vector-valued {M}artingale transforms on extreme points and applications},
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@ARTICLE{Ma-To2,
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  PAGES = {449--474},
  TITLE = {Operator-valued martingale transforms},
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@INCOLLECTION{Maur75,
  AUTHOR = {Maurey, B.},
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  PAGES = {26 pp. (erratum, p. 1)},
  PUBLISHER = {Centre Math., \'Ecole Polytech., Paris},
  TITLE = {Syst\`eme de {H}aar},
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}

@ARTICLE{mcconnell1,
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  FJOURNAL = {Transactions of the American Mathematical Society},
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  NUMBER = {2},
  PAGES = {739--757},
  TITLE = {On {F}ourier multiplier transformations of {B}anach-valued functions},
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  YEAR = {1984}
}

@ARTICLE{melas1,
  AUTHOR = {Melas, Antonios D.},
  CODEN = {TAMTAM},
  FJOURNAL = {Transactions of the American Mathematical Society},
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  JOURNAL = {Trans. Amer. Math. Soc.},
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  MRNUMBER = {MR1897399 (2003c:42021)},
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  NUMBER = {8},
  PAGES = {3263--3273 (electronic)},
  TITLE = {On the centered {H}ardy-{L}ittlewood maximal operator},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1897399},
  VOLUME = {354},
  YEAR = {2002}
}

@ARTICLE{melas2,
  AUTHOR = {Melas, Antonios D.},
  CODEN = {ANMAAH},
  FJOURNAL = {Annals of Mathematics. Second Series},
  ISSN = {0003-486X},
  JOURNAL = {Ann. of Math. (2)},
  MRCLASS = {42B25},
  MRNUMBER = {MR1973058 (2004e:42032)},
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  NUMBER = {2},
  PAGES = {647--688},
  TITLE = {The best constant for the centered {H}ardy-{L}ittlewood maximal inequality},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1973058},
  VOLUME = {157},
  YEAR = {2003}
}

@ARTICLE{Muc1,
  AUTHOR = {Muckenhoupt, Benjamin},
  FJOURNAL = {Pacific Journal of Mathematics},
  ISSN = {0030-8730},
  JOURNAL = {Pacific J. Math.},
  MRCLASS = {44.00},
  MRNUMBER = {MR0113108 (22 \#3948)},
  MRREVIEWER = {C. Fox},
  PAGES = {239--261},
  TITLE = {On certain singular integrals},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR0113108},
  VOLUME = {10},
  YEAR = {1960}
}

@ARTICLE{NaPTV,
  AUTHOR = {Nazarov, F. and and Pisier, G. and Treil, S. and Volberg, A.},
  CODEN = {JRMAA8},
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  ISSN = {0075-4102},
  JOURNAL = {J. Reine Angew. Math.},
  MRCLASS = {47B35 (42B25 47B38)},
  MRNUMBER = {MR1880830 (2002m:47038)},
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  PAGES = {147--171},
  TITLE = {Sharp estimates in vector {C}arleson imbedding theorem and for vector paraproducts},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1880830},
  VOLUME = {542},
  YEAR = {2002}
}

@ARTICLE{NaTrVo,
  AUTHOR = {Nazarov, F. and and Treil, S. and Volberg, A.},
  FJOURNAL = {Journal of the American Mathematical Society},
  ISSN = {0894-0347},
  JOURNAL = {J. Amer. Math. Soc.},
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  NUMBER = {4},
  PAGES = {909--928},
  TITLE = {The {B}ellman functions and two-weight inequalities for {H}aar multipliers},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1685781},
  VOLUME = {12},
  YEAR = {1999}
}

@ARTICLE{Nazvol1,
  AUTHOR = {Vol{\cprime}berg, A. and Nazarov, F. and},
  FJOURNAL = {Rossi\u\i skaya Akademiya Nauk. Algebra i Analiz},
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  JOURNAL = {Algebra i Analiz},
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  NUMBER = {4},
  PAGES = {142--158},
  TITLE = {Heat extension of the {B}eurling operator and estimates for its norm},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR2068982},
  VOLUME = {15},
  YEAR = {2003}
}

@ARTICLE{NazVol2,
  AUTHOR = {Nazarov, F. and and Volberg, A.},
  CODEN = {JOAMAV},
  FJOURNAL = {Journal d'Analyse Math\'ematique},
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@ARTICLE{nesi1,
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@ARTICLE{Ole67,
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  PAGES = {237--239},
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@ARTICLE{Paley,
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@ARTICLE{pelczynski1,
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  JOURNAL = {Ast\'erisque},
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  NUMBER = {131},
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@ARTICLE{Pe_Tr-Vo,
  AUTHOR = {Petermichl, S. and Treil, S. and Volberg, A.},
  FJOURNAL = {Publicacions Matem\`atiques},
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@ARTICLE{Pet-vol,
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@ARTICLE{Pet-Wit,
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@ARTICLE{Pic,
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  FJOURNAL = {Polska Akademia Nauk. Instytut Matematyczny. Studia Mathematica},
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  JOURNAL = {Studia Math.},
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@INCOLLECTION{Pisier,
  ADDRESS = {Berlin},
  AUTHOR = {Pisier, Gilles},
  BOOKTITLE = {S\'eminaire de Probabilit\'es, XXII},
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  PUBLISHER = {Springer},
  SERIES = {Lecture Notes in Math.},
  TITLE = {Riesz transforms: a simpler analytic proof of {P}.-{A}. {M}eyer's inequality},
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  VOLUME = {1321},
  YEAR = {1988}
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@ARTICLE{Rei,
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  FJOURNAL = {Commentarii Mathematici Helvetici},
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  PAGES = {260--276},
  TITLE = {Functions of bounded mean oscillation and quasiconformal mappings},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR0361067},
  VOLUME = {49},
  YEAR = {1974}
}

@ARTICLE{Ries,
  AUTHOR = {Riesz, Marcel},
  CODEN = {MAZEAX},
  FJOURNAL = {Mathematische Zeitschrift},
  ISSN = {0025-5874},
  JOURNAL = {Math. Z.},
  MRCLASS = {Contributed Item},
  MRNUMBER = {MR1544909},
  NUMBER = {1},
  PAGES = {218--244},
  TITLE = {Sur les fonctions conjugu\'ees},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1544909},
  VOLUME = {27},
  YEAR = {1928}
}

@ARTICLE{rochberg,
  AUTHOR = {Rochberg, Richard},
  CODEN = {AJMAAN},
  FJOURNAL = {American Journal of Mathematics},
  ISSN = {0002-9327},
  JOURNAL = {Amer. J. Math.},
  MRCLASS = {47G10 (42A50 45P05 47A99 47B38)},
  MRNUMBER = {MR1333943 (97a:47077a)},
  MRREVIEWER = {Michael Z. Solomyak},
  NUMBER = {3},
  PAGES = {711--771},
  TITLE = {Size estimates for eigenvalues of singular integral operators and {S}chr\"odinger operators and for derivatives of quasiconformal mappings},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1333943},
  VOLUME = {117},
  YEAR = {1995}
}

@BOOK{Stein1,
  ADDRESS = {Princeton, N.J.},
  AUTHOR = {Stein, Elias M.},
  MRCLASS = {46.38 (26.00)},
  MRNUMBER = {MR0290095 (44 \#7280)},
  MRREVIEWER = {R. E. Edwards},
  PAGES = {xiv+290},
  PUBLISHER = {Princeton University Press},
  SERIES = {Princeton Mathematical Series, No. 30},
  TITLE = {Singular integrals and differentiability properties of functions},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR0290095},
  YEAR = {1970}
}

@ARTICLE{Stein2,
  AUTHOR = {Stein, E. M.},
  CODEN = {BAMOAD},
  FJOURNAL = {American Mathematical Society. Bulletin. New Series},
  ISSN = {0273-0979},
  JOURNAL = {Bull. Amer. Math. Soc. (N.S.)},
  MRCLASS = {42B25 (42B20)},
  MRNUMBER = {MR699317 (84g:42019)},
  NUMBER = {1},
  PAGES = {71--73},
  TITLE = {Some results in harmonic analysis in {${\bf R}\sp{n}$}, for {$n\rightarrow \infty $}},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR699317},
  VOLUME = {9},
  YEAR = {1983}
}

@INPROCEEDINGS{Stein3,
  ADDRESS = {Providence, RI},
  AUTHOR = {Stein, E. M.},
  BOOKTITLE = {Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Berkeley, Calif., 1986)},
  MRCLASS = {42B20 (42B25)},
  MRNUMBER = {MR934224 (89d:42028)},
  MRREVIEWER = {Gerald B. Folland},
  PAGES = {196--221},
  PUBLISHER = {Amer. Math. Soc.},
  TITLE = {Problems in harmonic analysis related to curvature and oscillatory integrals},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR934224},
  YEAR = {1987}
}

@BOOK{Stein4,
  ADDRESS = {Princeton, NJ},
  AUTHOR = {Stein, Elias M.},
  ISBN = {0-691-03216-5},
  MRCLASS = {42-02 (35Sxx 43-02 47G30)},
  MRNUMBER = {MR1232192 (95c:42002)},
  MRREVIEWER = {Michael Cowling},
  PAGES = {xiv+695},
  PUBLISHER = {Princeton University Press},
  SERIES = {Princeton Mathematical Series},
  TITLE = {Harmonic analysis: real-variable methods, orthogonality, and oscillatory integrals},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1232192},
  VOLUME = {43},
  YEAR = {1993}
}

@ARTICLE{St-St,
  AUTHOR = {Stein, E. M. and Str{\"o}mberg, J.-O.},
  CODEN = {AKMTAJ},
  FJOURNAL = {Arkiv f\"or Matematik},
  ISSN = {0004-2080},
  JOURNAL = {Ark. Mat.},
  MRCLASS = {42B25},
  MRNUMBER = {MR727348 (86a:42027)},
  MRREVIEWER = {Gerald B. Folland},
  NUMBER = {2},
  PAGES = {259--269},
  TITLE = {Behavior of maximal functions in {${\bf R}\sp{n}$} for large {$n$}},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR727348},
  VOLUME = {21},
  YEAR = {1983}
}

@ARTICLE{St-Ta-We,
  AUTHOR = {Stein, Elias M. and Taibleson, Mitchell H. and Weiss, Guido},
  CODEN = {RCMMAR},
  FJOURNAL = {Rendiconti del Circolo Matematico di Palermo. Serie II},
  ISSN = {0009-725X},
  JOURNAL = {Rend. Circ. Mat. Palermo (2)},
  MRCLASS = {42B30 (42B25)},
  MRNUMBER = {MR639468 (83c:42017)},
  MRREVIEWER = {Alberto Torchinsky},
  NUMBER = {suppl. 1},
  PAGES = {81--97},
  TITLE = {Weak type estimates for maximal operators on certain {$H\sp{p}$}\ classes},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR639468},
  YEAR = {1981}
}

@ARTICLE{StW1,
  AUTHOR = {Stein, E. M. and Weiss, Guido},
  JOURNAL = {J. Math. Mech.},
  MRCLASS = {46.00 (44.00)},
  MRNUMBER = {MR0107163 (21 \#5888)},
  MRREVIEWER = {M. Cotlar},
  PAGES = {263--284},
  TITLE = {An extension of a theorem of {M}arcinkiewicz and some of its applications},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR0107163},
  VOLUME = {8},
  YEAR = {1959}
}

@BOOK{StW2,
  ADDRESS = {Princeton, N.J.},
  AUTHOR = {Stein, Elias M. and Weiss, Guido},
  MRCLASS = {42A92 (31B99 32A99 46F99 47G05)},
  MRNUMBER = {MR0304972 (46 \#4102)},
  MRREVIEWER = {Edwin Hewitt},
  PAGES = {x+297},
  PUBLISHER = {Princeton University Press},
  TITLE = {Introduction to {F}ourier analysis on {E}uclidean spaces},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR0304972},
  YEAR = {1971}
}

@ARTICLE{St-To,
  AUTHOR = {Stempak, Krzysztof and Torrea, Jos{\'e} Luis and},
  CODEN = {JFUAAW},
  FJOURNAL = {Journal of Functional Analysis},
  ISSN = {0022-1236},
  JOURNAL = {J. Funct. Anal.},
  MRCLASS = {42B20 (47G10)},
  MRNUMBER = {MR1990533 (2004d:42024)},
  MRREVIEWER = {Sundaram Thangavelu},
  NUMBER = {2},
  PAGES = {443--472},
  TITLE = {Poisson integrals and {R}iesz transforms for {H}ermite function expansions with weights},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1990533},
  VOLUME = {202},
  YEAR = {2003}
}

@ARTICLE{Suh1,
  AUTHOR = {Suh, Jiyeon},
  CODEN = {TAMTAM},
  FJOURNAL = {Transactions of the American Mathematical Society},
  ISSN = {0002-9947},
  JOURNAL = {Trans. Amer. Math. Soc.},
  MRCLASS = {60G44 (60G42 60G46)},
  MRNUMBER = {MR2115376 (2005k:60134)},
  MRREVIEWER = {Ferenc Weisz},
  NUMBER = {4},
  PAGES = {1545--1564 (electronic)},
  TITLE = {A sharp weak type {$(p,p)$} inequality {$(p>2)$} for martingale transforms and other subordinate martingales},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR2115376},
  VOLUME = {357},
  YEAR = {2005}
}

@ARTICLE{sverak1,
  AUTHOR = {{\v{S}}ver{\'a}k, Vladim{\'{\i}}r},
  CODEN = {PEAMDU},
  FJOURNAL = {Proceedings of the Royal Society of Edinburgh. Section A. Mathematics},
  ISSN = {0308-2105},
  JOURNAL = {Proc. Roy. Soc. Edinburgh Sect. A},
  MRCLASS = {26B25},
  MRNUMBER = {MR1055547 (91h:26012)},
  MRREVIEWER = {Dominique Az{\'e}},
  NUMBER = {3-4},
  PAGES = {237--242},
  TITLE = {Examples of rank-one convex functions},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1055547},
  VOLUME = {114},
  YEAR = {1990}
}

@ARTICLE{sverak2,
  AUTHOR = {{\v{S}}ver{\'a}k, Vladim{\'{\i}}r},
  CODEN = {PEAMDU},
  FJOURNAL = {Proceedings of the Royal Society of Edinburgh. Section A. Mathematics},
  ISSN = {0308-2105},
  JOURNAL = {Proc. Roy. Soc. Edinburgh Sect. A},
  MRCLASS = {49K10 (49K27 90C48)},
  MRNUMBER = {MR1149994 (93b:49026)},
  MRREVIEWER = {Sever S. Dragomir},
  NUMBER = {1-2},
  PAGES = {185--189},
  TITLE = {Rank-one convexity does not imply quasiconvexity},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1149994},
  VOLUME = {120},
  YEAR = {1992}
}

@ARTICLE{sverak3,
  AUTHOR = {{\v{S}}ver{\'a}k, Vladim{\'{\i}}r},
  CODEN = {AVRMAW},
  FJOURNAL = {Archive for Rational Mechanics and Analysis},
  ISSN = {0003-9527},
  JOURNAL = {Arch. Rational Mech. Anal.},
  MRCLASS = {90C25 (26B25)},
  MRNUMBER = {MR1179688 (93h:90072)},
  MRREVIEWER = {Harold Parks},
  NUMBER = {4},
  PAGES = {293--300},
  TITLE = {New examples of quasiconvex functions},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR1179688},
  VOLUME = {119},
  YEAR = {1992}
}

@ARTICLE{Tom,
  AUTHOR = {Tomaszewski, Bogus{\l}aw},
  CODEN = {PAMYAR},
  FJOURNAL = {Proceedings of the American Mathematical Society},
  ISSN = {0002-9939},
  JOURNAL = {Proc. Amer. Math. Soc.},
  MRCLASS = {32A35 (32A40)},
  MRNUMBER = {MR801337 (87a:32005)},
  MRREVIEWER = {Wies{\l}aw Ple{\'s}niak},
  NUMBER = {2},
  PAGES = {271--274},
  TITLE = {Some sharp weak-type inequalities for holomorphic functions on the unit ball of {${\bf C}\sp n$}},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR801337},
  VOLUME = {95},
  YEAR = {1985}
}

@ARTICLE{Var1,
  AUTHOR = {Varopoulos, N. Th.},
  FJOURNAL = {Pacific Journal of Mathematics},
  ISSN = {0030-8730},
  JOURNAL = {Pacific J. Math.},
  MRCLASS = {32A99 (46E99)},
  MRNUMBER = {MR0508036 (58 \#22639b)},
  MRREVIEWER = {John E. Fornaess},
  NUMBER = {1},
  PAGES = {257--259},
  TITLE = {A remark on functions of bounded mean oscillation and bounded harmonic functions. {A}ddendum to: ``{BMO} functions and the {$\overline \partial $}-equation'' ({P}acific {J}. {M}ath. {\bf 71} (1977), no. 1, 221--273)},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR0508036},
  VOLUME = {74},
  YEAR = {1978}
}

@INCOLLECTION{Var2,
  ADDRESS = {Providence, R.I.},
  AUTHOR = {Varopoulos, N. Th.},
  BOOKTITLE = {Harmonic analysis in Euclidean spaces (Proc. Sympos. Pure Math., Williams Coll., Williamstown, Mass., 1978), Part 2},
  MRCLASS = {32A35 (32F15)},
  MRNUMBER = {MR545291 (81c:32018)},
  MRREVIEWER = {G. M. Khenkin},
  PAGES = {43--61},
  PUBLISHER = {Amer. Math. Soc.},
  SERIES = {Proc. Sympos. Pure Math., XXXV, Part},
  TITLE = {B.{M}.{O}. functions in complex analysis},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR545291},
  YEAR = {1979}
}

@ARTICLE{Var3,
  AUTHOR = {Varopoulos, Nicolas Th. and},
  CODEN = {JFUAAW},
  FJOURNAL = {Journal of Functional Analysis},
  ISSN = {0022-1236},
  JOURNAL = {J. Funct. Anal.},
  MRCLASS = {42B25 (47D07 60G46)},
  MRNUMBER = {MR583240 (82d:42016)},
  MRREVIEWER = {D. L. Burkholder},
  NUMBER = {1},
  PAGES = {25--60},
  TITLE = {Aspects of probabilistic {L}ittlewood-{P}aley theory},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR583240},
  VOLUME = {38},
  YEAR = {1980}
}

@ARTICLE{Var4,
  AUTHOR = {Varopoulos, Nicholas Th.},
  CODEN = {BSMQA9},
  FJOURNAL = {Bulletin des Sciences Math\'ematiques. 2e S\'erie},
  ISSN = {0007-4497},
  JOURNAL = {Bull. Sci. Math. (2)},
  MRCLASS = {32A35 (60G46)},
  MRNUMBER = {MR618877 (82k:32025)},
  MRREVIEWER = {Jean-Louis Ducourtioux},
  NUMBER = {2},
  PAGES = {181--224},
  TITLE = {Probabilistic approach to some problems in complex analysis},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR618877},
  VOLUME = {105},
  YEAR = {1981}
}

@ARTICLE{Var5,
  AUTHOR = {Varopoulos, Nicolas Th.},
  CODEN = {AIFUA7},
  FJOURNAL = {Universit\'e de Grenoble. Annales de l'Institut Fourier},
  ISSN = {0373-0956},
  JOURNAL = {Ann. Inst. Fourier (Grenoble)},
  MRCLASS = {60G46 (42B99)},
  MRNUMBER = {MR613038 (84e:60070)},
  MRREVIEWER = {Author's review},
  NUMBER = {1},
  PAGES = {viii, 257--264},
  TITLE = {A theorem on weak type estimates for {R}iesz transforms and martingale transforms},
  URL = {http://www.ams.org/mathscinet-getitem?mr=MR613038},
  VOLUME = {31},
  YEAR = {1981}
}

@ARTICLE{verbitsky,
  AUTHOR = {I.E. Verbitsky},
  DATE-MODIFIED = {2006-02-20 14:49:34 -0500},
  JOURNAL = {Amer. Math. Soc. Transl},
  PAGES = {11-15},
  TITLE = {An estimate of the norm of a function in Hardy space in terms of the norm of its real and imaginary parts},
  VOLUME = {124},
  YEAR = {1984}
}

@ARTICLE{Wang1,
  AUTHOR = {Wang, Gang and},
  CODEN = {APBYAE},
  FJOURNAL = {The Annals of Probability},
  ISSN = {0091-1798},
  JOURNAL = {Ann. Probab.},
  MRCLASS = {60G42 (60E15)},
  MRNUMBER = {MR1127721 (93e:60087)},
  MRREVIEWER = {Terry R. McConnell},
  NUMBER = {4},
  PAGES = {1679--1688},
  TITLE = {Sharp inequalities for the conditional square function of a martingale},
  URL = {