@comment{{meta_data,
INDEX = META,
TYPE = Personal bibliography,
AUTHOR = Rodrigo Bañuelos,
AUTHOR_URL = http://www.math.purdue.edu/~banuelos/,
AUTHOR_ID_MR = 30705,
TITLE = Publications of Rodrigo Bañuelos,
HEADING = Publications of Rodrigo Bañuelos,
SOURCE = based on data drawn from MathSciNet,
DESCRIPTION = ,
SHOW_SUBJECTS = YES,
ARXIV = Banuelos,
AUTHOR_LIST = http://www.math.purdue.edu/~banuelos/,
}}
@misc{arXiv:1112.0551,
title = {Burkholder inequalities for submartingales, Bessel processes, and conformal martingales, (to appear in American Journal of Mathematics)},
author = {Ba\~nuelos, Rodrigo and Osękowski, Adam },
year = 2011,
id_ar = {arXiv:1112.0551},
subject = {martingale inequalities}
}
@misc{arXiv:1111.7212,
title = {Martingales and sharp bounds for Fourier multipliers, (to appear in Annales Academiae Scientiarum Fennicae)},
author = {Ba\~nuelos, Rodrigo and Osękowski, Adam },
year = 2011,
id_ar = {arXiv:1111.7212},
subject = {martingale}
}
@misc{arXiv:1109.5751,
title = {Fourier multipliers for non-symmetric L\'evy processes},
author = {Ba\~nuelos, Rodrigo and Bielaszewski, Adam and Bogdan, Krzysztof},
year = 2011,
id_ar = {arXiv:1109.5751},
subject = {martingale}
}
@misc{arXiv:1012.4902,
title = {Martingale transforms and their projection operators on manifolds},
author = {Ba\~nuelos, Rodrigo and Baudoin, Fabrice},
year = 2011,
id_ar = {arXiv:1012.4902},
subject = {martingale}
}
@misc{arXiv:1012.4850,
title = {The foundational inequalities of D.L. Burkholder and some of their ramifications, To appear, Illinois Journal of Mathematics, Volume in honor of D.L. Burkholder},
author = {Ba\~nuelos, Rodrigo},
year = 2011,
id_ar = {arXiv:1012.4850},
subject = {Martingales, harmonic analsys}
}
@misc{arXiv:1012.4849,
title = {Donald Burkholder's work in martingales and analysis. In "Selected Works of Donald L. Burkholder," B. Davis, R. Song, Editors. Springer 2011},
author = {Ba\~nuelos, Rodrigo and Davis, Burgess},
year = 2011,
id_ar = {arXiv:1012.4849},
subject = {Martingales, harmonic analsys}
}
@misc{4-constants,
author = {Ba\~nuelos, Rodrigo},
title = {Four unknown constants: 2009 Oberwolfach workshop on Low Eigenvalues of Laplace and Schr\"odinger Operators, Oberwolfach reports No. 06, 2009},
year = {2009},
url = {http://www.math.purdue.edu/~banuelos/Papers/4-constants.pdf [pdf]}
}
@misc{bibliography,
author = {Ba\~nuelos, Rodrigo and Janakiraman, Prabhu},
title = {Inequalties for martingales, singular integrals and related topics, A bibliography},
year = {2009},
url = {http://www.math.purdue.edu/%7Ebanuelos/alfestreferences.pdf [pdf]}
}
@incollection{MR2758960,
author = {Ba{\~n}uelos, Rodrigo and Kulczycki, Tadeusz and Polterovich,
Iosif and Siudeja, Bart{\l}omiej},
title = {Eigenvalue inequalities for mixed {S}teklov problems},
booktitle = {Operator theory and its applications},
series = {Amer. Math. Soc. Transl. Ser. 2},
volume = {231},
pages = {19--34},
publisher = {Amer. Math. Soc.},
address = {Providence, RI},
year = {2010},
mrclass = {35P15 (35J05 47F05)},
mrnumber = {2758960}
}
@article{MR2672423,
author = {Ba{\~n}uelos, Rodrigo and Carroll, Tom},
title = {Stretching convex domains and the hyperbolic metric},
journal = {Q. J. Math.},
fjournal = {The Quarterly Journal of Mathematics},
volume = {61},
year = {2010},
number = {3},
pages = {265--273},
issn = {0033-5606},
mrclass = {30F45},
mrnumber = {2672423 (2011f:30087)},
mrreviewer = {William Ma},
doi = {10.1093/qmath/hap007},
url = {http://dx.doi.org/10.1093/qmath/hap007}
}
@article{MR2609537,
author = {Ba{\~n}uelos, Rodrigo and M{\'e}ndez-Hern{\'a}ndez, Pedro J.},
title = {Symmetrization of {L}\'evy processes and applications},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {258},
year = {2010},
number = {12},
pages = {4026--4051},
issn = {0022-1236},
coden = {JFUAAW},
mrclass = {60G51 (26D20 46Exx)},
mrnumber = {2609537},
doi = {10.1016/j.jfa.2010.02.013},
url = {http://dx.doi.org/10.1016/j.jfa.2010.02.013}
}
@preamble{{\def\cprime{$'$} }}
@article{MR2595549,
author = {Ba{\~n}uelos, Rodrigo and Janakiraman, Prabhu},
title = {On the weak-type constant of the {B}eurling-{A}hlfors
transform},
journal = {Michigan Math. J.},
fjournal = {Michigan Mathematical Journal},
volume = {58},
year = {2009},
number = {2},
pages = {459--477},
issn = {0026-2285},
mrclass = {47G10 (30E25 42B25 45P05 46E15 47B38)},
mrnumber = {2595549 (2011a:47096)},
mrreviewer = {Volodymyr D{\={\i}}l{\cprime}ni{\u\i}},
doi = {10.1307/mmj/1250169072},
url = {http://dx.doi.org/10.1307/mmj/1250169072}
}
@article{MR2568694,
author = {Ba{\~n}uelos, Rodrigo and Kulczycki, Tadeusz and Siudeja,
Bart{\l}omiej},
title = {On the trace of symmetric stable processes on {L}ipschitz
domains},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {257},
year = {2009},
number = {10},
pages = {3329--3352},
issn = {0022-1236},
coden = {JFUAAW},
mrclass = {60G52 (47D07)},
mrnumber = {2568694 (2010k:60177)},
doi = {10.1016/j.jfa.2009.06.037},
url = {http://dx.doi.org/10.1016/j.jfa.2009.06.037}
}
@article{MR2465712,
author = {Ba{\~n}uelos, R. and Kulczycki, T. and Siudeja, B.},
title = {Neumann {B}essel heat kernel monotonicity},
journal = {Potential Anal.},
fjournal = {Potential Analysis. An International Journal Devoted to the
Interactions between Potential Theory, Probability Theory,
Geometry and Functional Analysis},
volume = {30},
year = {2009},
number = {1},
pages = {65--83},
issn = {0926-2601},
coden = {POANE2},
mrclass = {31B15 (60J45)},
mrnumber = {2465712 (2009m:31010)},
mrreviewer = {Ali Ben Amor},
doi = {10.1007/s11118-008-9106-4},
url = {http://dx.doi.org/10.1007/s11118-008-9106-4}
}
@article{MR2448900,
author = {Ba{\~n}uelos, Rodrigo and Pang, Michael M. H.},
title = {Stability and approximations of eigenvalues and eigenfunctions
for the {N}eumann {L}aplacian. {I}},
journal = {Electron. J. Differential Equations},
fjournal = {Electronic Journal of Differential Equations},
year = {2008},
pages = {No. 145, 13},
issn = {1072-6691},
mrclass = {35P05 (35B35 35J05 35P15)},
mrnumber = {2448900 (2009i:35224)}
}
@article{MR2438694,
author = {Ba{\~n}uelos, Rodrigo and Kulczycki, Tadeusz},
title = {Trace estimates for stable processes},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {142},
year = {2008},
number = {3-4},
pages = {313--338},
issn = {0178-8051},
coden = {PTRFEU},
mrclass = {60G52 (35K05 35P20)},
mrnumber = {2438694 (2009h:60084)},
mrreviewer = {Wilhelm Stannat},
doi = {10.1007/s00440-007-0106-x},
url = {http://dx.doi.org/10.1007/s00440-007-0106-x}
}
@article{MR2386238,
author = {Ba{\~n}uelos, Rodrigo and Janakiraman, Prabhu},
title = {{$L^p$}-bounds for the {B}eurling-{A}hlfors transform},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {360},
year = {2008},
number = {7},
pages = {3603--3612},
issn = {0002-9947},
coden = {TAMTAM},
mrclass = {42B20 (44A15)},
mrnumber = {2386238 (2009d:42032)},
mrreviewer = {Wilfredo O. Urbina},
doi = {10.1090/S0002-9947-08-04537-6},
url = {http://dx.doi.org/10.1090/S0002-9947-08-04537-6}
}
@article{MR2345912,
author = {Ba{\~n}uelos, Rodrigo and Bogdan, Krzysztof},
title = {L\'evy processes and {F}ourier multipliers},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {250},
year = {2007},
number = {1},
pages = {197--213},
issn = {0022-1236},
coden = {JFUAAW},
mrclass = {60G46 (42B20 60G51)},
mrnumber = {2345912 (2008k:60097)},
mrreviewer = {V{\'{\i}}ctor M. Rivero},
doi = {10.1016/j.jfa.2007.05.013},
url = {http://dx.doi.org/10.1016/j.jfa.2007.05.013}
}
@article{MR2273977,
author = {Ba{\~n}uelos, Rodrigo and Kulczycki, Tadeusz},
title = {Spectral gap for the {C}auchy process on convex, symmetric
domains},
journal = {Comm. Partial Differential Equations},
fjournal = {Communications in Partial Differential Equations},
volume = {31},
year = {2006},
number = {10-12},
pages = {1841--1878},
issn = {0360-5302},
coden = {CPDIDZ},
mrclass = {60G52 (35J20 35P15)},
mrnumber = {2273977 (2008d:60065)},
mrreviewer = {Zhen-Qing Chen},
doi = {10.1080/03605300600856188},
url = {http://dx.doi.org/10.1080/03605300600856188}
}
@article{MR2247822,
author = {Ba{\~n}uelos, Rodrigo and M{\'e}ndez-Hern{\'a}ndez, Pedro J.},
title = {Hot-spots for conditioned {B}rownian motion},
journal = {Illinois J. Math.},
fjournal = {Illinois Journal of Mathematics},
volume = {50},
year = {2006},
number = {1-4},
pages = {1--32 (electronic)},
issn = {0019-2082},
coden = {IJMTAW},
mrclass = {60J45 (35J10 47A75)},
mrnumber = {2247822 (2007f:60063)},
mrreviewer = {Achim Klenke},
url = {http://projecteuclid.org/getRecord?id=euclid.ijm/1258059465}
}
@article{MR2244591,
author = {Ba{\~n}uelos, Rodrigo and Pang, Michael M. H.},
title = {Level sets of {N}eumann eigenfunctions},
journal = {Indiana Univ. Math. J.},
fjournal = {Indiana University Mathematics Journal},
volume = {55},
year = {2006},
number = {3},
pages = {923--939},
issn = {0022-2518},
coden = {IUMJAB},
mrclass = {35P05 (35J05)},
mrnumber = {2244591 (2007j:35148)},
mrreviewer = {Markus Biegert},
doi = {10.1512/iumj.2006.55.2808},
url = {http://dx.doi.org/10.1512/iumj.2006.55.2808}
}
@article{MR2217951,
author = {Ba{\~n}uelos, Rodrigo and Kulczycki, Tadeusz and
M{\'e}ndez-Hern{\'a}ndez, Pedro J.},
title = {On the shape of the ground state eigenfunction for stable
processes},
journal = {Potential Anal.},
fjournal = {Potential Analysis. An International Journal Devoted to the
Interactions between Potential Theory, Probability Theory,
Geometry and Functional Analysis},
volume = {24},
year = {2006},
number = {3},
pages = {205--221},
issn = {0926-2601},
coden = {POANE2},
mrclass = {60G52 (30C80 60G15)},
mrnumber = {2217951 (2007c:60051)},
mrreviewer = {Sreenivasan Ravi},
doi = {10.1007/s11118-005-8569-9},
url = {http://dx.doi.org/10.1007/s11118-005-8569-9}
}
@article{MR2214145,
author = {Ba{\~n}uelos, Rodrigo and Kulczycki, Tadeusz},
title = {Eigenvalue gaps for the {C}auchy process and a {P}oincar\'e
inequality},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {234},
year = {2006},
number = {1},
pages = {199--225},
issn = {0022-1236},
coden = {JFUAAW},
mrclass = {60G52 (26D15 35J25)},
mrnumber = {2214145 (2007c:60050)},
mrreviewer = {Zhen-Qing Chen},
doi = {10.1016/j.jfa.2005.11.016},
url = {http://dx.doi.org/10.1016/j.jfa.2005.11.016}
}
@article{MR2186839,
author = {Ba{\~n}uelos, Rodrigo and DeBlassie, Dante},
title = {The exit distribution of iterated {B}rownian motion in cones},
journal = {Stochastic Process. Appl.},
fjournal = {Stochastic Processes and their Applications},
volume = {116},
year = {2006},
number = {1},
pages = {36--69},
issn = {0304-4149},
coden = {STOPB7},
mrclass = {60J65 (60G40)},
mrnumber = {2186839 (2007k:60258)},
mrreviewer = {Anja K. Sturm},
doi = {10.1016/j.spa.2005.07.003},
url = {http://dx.doi.org/10.1016/j.spa.2005.07.003}
}
@article{MR2163593,
author = {Ba{\~n}uelos, Rodrigo and Bogdan, Krzysztof},
title = {Symmetric stable processes in parabola-shaped regions},
journal = {Proc. Amer. Math. Soc.},
fjournal = {Proceedings of the American Mathematical Society},
volume = {133},
year = {2005},
number = {12},
pages = {3581--3587 (electronic)},
issn = {0002-9939},
coden = {PAMYAR},
mrclass = {60J45 (31B05 60G51 60J65)},
mrnumber = {2163593 (2006g:60115)},
mrreviewer = {Irene Hueter},
doi = {10.1090/S0002-9939-05-07923-2},
url = {http://dx.doi.org/10.1090/S0002-9939-05-07923-2}
}
@article{MR2101220,
author = {Ba{\~n}uelos, Rodrigo and Carroll, Tom},
title = {Sharp integrability for {B}rownian motion in parabola-shaped
regions},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {218},
year = {2005},
number = {1},
pages = {219--253},
issn = {0022-1236},
coden = {JFUAAW},
mrclass = {60J65 (31C25 60J45)},
mrnumber = {2101220 (2005j:60152)},
mrreviewer = {Zoran Vondra{\v{c}}ek},
doi = {10.1016/j.jfa.2004.05.006},
url = {http://dx.doi.org/10.1016/j.jfa.2004.05.006}
}
@article{MR2092873,
author = {Ba{\~n}uelos, Rodrigo and Pang, Michael and Pascu, Mihai},
title = {Brownian motion with killing and reflection and the
``hot-spots'' problem},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {130},
year = {2004},
number = {1},
pages = {56--68},
issn = {0178-8051},
coden = {PTRFEU},
mrclass = {60J65 (60J45)},
mrnumber = {2092873 (2005j:60151)},
mrreviewer = {B. L. Granovsky},
doi = {10.1007/s00440-003-0323-x},
url = {http://dx.doi.org/10.1007/s00440-003-0323-x}
}
@article{MR2075671,
author = {Ba{\~n}uelos, Rodrigo and Bogdan, Krzysztof},
title = {Symmetric stable processes in cones},
journal = {Potential Anal.},
fjournal = {Potential Analysis. An International Journal Devoted to the
Interactions between Potential Theory, Probability Theory,
Geometry and Functional Analysis},
volume = {21},
year = {2004},
number = {3},
pages = {263--288},
issn = {0926-2601},
coden = {POANE2},
mrclass = {60J45 (31B05)},
mrnumber = {2075671 (2005h:60238)},
mrreviewer = {Joerg-Uwe Loebus},
doi = {10.1023/B:POTA.0000033333.72236.dc},
url = {http://dx.doi.org/10.1023/B:POTA.0000033333.72236.dc}
}
@article{MR2056835,
author = {Ba{\~n}uelos, Rodrigo and Kulczycki, Tadeusz},
title = {The {C}auchy process and the {S}teklov problem},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {211},
year = {2004},
number = {2},
pages = {355--423},
issn = {0022-1236},
coden = {JFUAAW},
mrclass = {60G52 (35J25 35K05 35P05 47N20 60J35)},
mrnumber = {2056835 (2005b:60124)},
mrreviewer = {Anatoly N. Kochubei},
doi = {10.1016/j.jfa.2004.02.005},
url = {http://dx.doi.org/10.1016/j.jfa.2004.02.005}
}
@article{MR2048182,
author = {Ba{\~n}uelos, Rodrigo and Pang, Michael},
title = {An inequality for potentials and the ``hot-spots'' conjecture},
journal = {Indiana Univ. Math. J.},
fjournal = {Indiana University Mathematics Journal},
volume = {53},
year = {2004},
number = {1},
pages = {35--47},
issn = {0022-2518},
coden = {IUMJAB},
mrclass = {60J45 (31B15)},
mrnumber = {2048182 (2005e:60172)},
mrreviewer = {Joerg-Uwe Loebus},
doi = {10.1512/iumj.2004.53.2340},
url = {http://dx.doi.org/10.1512/iumj.2004.53.2340}
}
@article{MR2001941,
author = {Ba{\~n}uelos, R. and M{\'e}ndez-Hern{\'a}ndez, P. J.},
title = {Space-time {B}rownian motion and the {B}eurling-{A}hlfors
transform},
journal = {Indiana Univ. Math. J.},
fjournal = {Indiana University Mathematics Journal},
volume = {52},
year = {2003},
number = {4},
pages = {981--990},
issn = {0022-2518},
coden = {IUMJAB},
mrclass = {60G46 (30C62 47G10 60G44)},
mrnumber = {2001941 (2004h:60067)},
mrreviewer = {Jean-Claude Gruet},
doi = {10.1512/iumj.2003.52.2218},
url = {http://dx.doi.org/10.1512/iumj.2003.52.2218}
}
@article{MR1920417,
author = {Ba{\~n}uelos, Rodrigo and van den Berg, M. and Carroll, Tom},
title = {Torsional rigidity and expected lifetime of {B}rownian motion},
journal = {J. London Math. Soc. (2)},
fjournal = {Journal of the London Mathematical Society. Second Series},
volume = {66},
year = {2002},
number = {2},
pages = {499--512},
issn = {0024-6107},
coden = {JLMSAK},
mrclass = {60J65 (35K05)},
mrnumber = {1920417 (2003e:60183)},
mrreviewer = {D. L. Burkholder},
doi = {10.1112/S0024610702003460},
url = {http://dx.doi.org/10.1112/S0024610702003460}
}
@article{MR1869875,
author = {Ba{\~n}uelos, Rodrigo and Kr{\"o}ger, Pawel},
title = {Gradient estimates for the ground state {S}chr\"odinger
eigenfunction and applications},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {224},
year = {2001},
number = {2},
pages = {545--550},
issn = {0010-3616},
coden = {CMPHAY},
mrclass = {35P15 (35B65 35J10 35J25 81Q10)},
mrnumber = {1869875 (2002i:35135)},
mrreviewer = {Leonid Friedlander},
doi = {10.1007/s002200100551},
url = {http://dx.doi.org/10.1007/s002200100551}
}
@article{MR1849181,
author = {Ba{\~n}uelos, Rodrigo and DeBlassie, R. Dante and Smits,
Robert},
title = {The first exit time of planar {B}rownian motion from the
interior of a parabola},
journal = {Ann. Probab.},
fjournal = {The Annals of Probability},
volume = {29},
year = {2001},
number = {2},
pages = {882--901},
issn = {0091-1798},
coden = {APBYAE},
mrclass = {60J65 (60F10 60J50)},
mrnumber = {1849181 (2002h:60165)},
mrreviewer = {Xiang Qun Yang},
doi = {10.1214/aop/1008956696},
url = {http://dx.doi.org/10.1214/aop/1008956696}
}
@article{MR1840105,
author = {Ba{\~n}uelos, Rodrigo and Lata{\l}a, Rafa{\l} and
M{\'e}ndez-Hern{\'a}ndez, Pedro J.},
title = {A {B}rascamp-{L}ieb-{L}uttinger-type inequality and
applications to symmetric stable processes},
journal = {Proc. Amer. Math. Soc.},
fjournal = {Proceedings of the American Mathematical Society},
volume = {129},
year = {2001},
number = {10},
pages = {2997--3008 (electronic)},
issn = {0002-9939},
coden = {PAMYAR},
mrclass = {60J45 (31C45 60J65)},
mrnumber = {1840105 (2002c:60125)},
mrreviewer = {Ren Ming Song},
doi = {10.1090/S0002-9939-01-06137-8},
url = {http://dx.doi.org/10.1090/S0002-9939-01-06137-8}
}
@article{MR1800125,
author = {Ba{\~n}uelos, R. and Carroll, T.},
title = {Extremal problems for conditioned {B}rownian motion and the
hyperbolic metric},
journal = {Ann. Inst. Fourier (Grenoble)},
fjournal = {Universit\'e de Grenoble. Annales de l'Institut Fourier},
volume = {50},
year = {2000},
number = {5},
pages = {1507--1532},
issn = {0373-0956},
coden = {AIFUA7},
mrclass = {31A05 (30C40 30C75 30F45 58J65 60J65)},
mrnumber = {1800125 (2002k:31003)},
mrreviewer = {Zhen-Qing Chen},
url = {http://www.numdam.org/item?id=AIF_2000__50_5_1507_0}
}
@article{MR1784420,
author = {Ba{\~n}uelos, Rodrigo and M{\'e}ndez-Hern{\'a}ndez, Pedro J.},
title = {Sharp inequalities for heat kernels of {S}chr\"odinger
operators and applications to spectral gaps},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {176},
year = {2000},
number = {2},
pages = {368--399},
issn = {0022-1236},
coden = {JFUAAW},
mrclass = {35J10 (35K05 35P15 60J99)},
mrnumber = {1784420 (2001f:35096)},
doi = {10.1006/jfan.2000.3611},
url = {http://dx.doi.org/10.1006/jfan.2000.3611}
}
@article{MR1755259,
author = {Ba{\~n}uelos, Rodrigo and Wang, Gang},
title = {Davis's inequality for orthogonal martingales under
differential subordination},
journal = {Michigan Math. J.},
fjournal = {The Michigan Mathematical Journal},
volume = {47},
year = {2000},
number = {1},
pages = {109--124},
issn = {0026-2285},
mrclass = {60G44 (31B05 60E15 60G46)},
mrnumber = {1755259 (2001g:60100)},
mrreviewer = {Charles N. Moore},
doi = {10.1307/mmj/1030374671},
url = {http://dx.doi.org/10.1307/mmj/1030374671}
}
@book{MR1707297,
author = {Ba{\~n}uelos, Rodrigo and Moore, Charles N.},
title = {Probabilistic behavior of harmonic functions},
series = {Progress in Mathematics},
volume = {175},
publisher = {Birkh\"auser Verlag},
address = {Basel},
year = {1999},
pages = {xiv+204},
isbn = {3-7643-6062-3},
mrclass = {31B05 (42B25 60G46)},
mrnumber = {1707297 (2001j:31003)},
mrreviewer = {Tao Qian}
}
@article{MR1694534,
author = {Ba{\~n}uelos, Rodrigo and Burdzy, Krzysztof},
title = {On the ``hot spots'' conjecture of {J}.\ {R}auch},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {164},
year = {1999},
number = {1},
pages = {1--33},
issn = {0022-1236},
coden = {JFUAAW},
mrclass = {35K05 (31C05 35B40 35B50 60J45)},
mrnumber = {1694534 (2000m:35085)},
mrreviewer = {Zhongmin Qian},
doi = {10.1006/jfan.1999.3397},
url = {http://dx.doi.org/10.1006/jfan.1999.3397}
}
@preamble{{\def\cprime{$'$} }}
@article{MR1683048,
author = {Ba{\~n}uelos, Rodrigo and Pang, Michael M. H.},
title = {Lower bound gradient estimates for solutions of
{S}chr\"odinger equations and heat kernels},
journal = {Comm. Partial Differential Equations},
fjournal = {Communications in Partial Differential Equations},
volume = {24},
year = {1999},
number = {3-4},
pages = {499--543},
issn = {0360-5302},
coden = {CPDIDZ},
mrclass = {35J10 (35B45 47D07)},
mrnumber = {1683048 (2000a:35031)},
mrreviewer = {Michael A. Perel{\cprime}muter},
doi = {10.1080/03605309908821432},
url = {http://dx.doi.org/10.1080/03605309908821432}
}
@article{MR1443813,
author = {Ba{\~n}uelos, Rodrigo and Carroll, Tom and Housworth,
Elizabeth},
title = {Inradius and integral means for {G}reen's functions and
conformal mappings},
journal = {Proc. Amer. Math. Soc.},
fjournal = {Proceedings of the American Mathematical Society},
volume = {126},
year = {1998},
number = {2},
pages = {577--585},
issn = {0002-9939},
coden = {PAMYAR},
mrclass = {30C45},
mrnumber = {1443813 (98g:30016)},
mrreviewer = {Daniel Girela},
doi = {10.1090/S0002-9939-98-04217-8},
url = {http://dx.doi.org/10.1090/S0002-9939-98-04217-8}
}
@article{MR1465162,
author = {Ba{\~n}uelos, Rodrigo and Smits, Robert G.},
title = {Brownian motion in cones},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {108},
year = {1997},
number = {3},
pages = {299--319},
issn = {0178-8051},
coden = {PTRFEU},
mrclass = {60G40 (60J65)},
mrnumber = {1465162 (98k:60065)},
mrreviewer = {Zhan Shi},
doi = {10.1007/s004400050111},
url = {http://dx.doi.org/10.1007/s004400050111}
}
@article{MR1462796,
author = {Ba{\~n}uelos, Rodrigo and Kr{\"o}ger, Pawel},
title = {Isoperimetric-type bounds for solutions of the heat equation},
journal = {Indiana Univ. Math. J.},
fjournal = {Indiana University Mathematics Journal},
volume = {46},
year = {1997},
number = {1},
pages = {83--91},
issn = {0022-2518},
coden = {IUMJAB},
mrclass = {35K05 (35B45 60J65)},
mrnumber = {1462796 (98k:35081)},
mrreviewer = {Ross Pinsky},
doi = {10.1512/iumj.1997.46.1350},
url = {http://dx.doi.org/10.1512/iumj.1997.46.1350}
}
@article{MR1442167,
author = {Ba{\~n}uelos, Rodrigo and Lindeman, II, Arthur},
title = {A martingale study of the {B}eurling-{A}hlfors transform in
{${\bf R}^n$}},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {145},
year = {1997},
number = {1},
pages = {224--265},
issn = {0022-1236},
coden = {JFUAAW},
mrclass = {30C40 (42B20 47B38 60G46)},
mrnumber = {1442167 (98a:30007)},
mrreviewer = {Vasily A. Chernecky},
doi = {10.1006/jfan.1996.3022},
url = {http://dx.doi.org/10.1006/jfan.1996.3022}
}
@article{MR1415025,
author = {Ba{\~n}uelos, Rodrigo and Wang, Gang},
title = {Orthogonal martingales under differential subordination and
applications to {R}iesz transforms},
journal = {Illinois J. Math.},
fjournal = {Illinois Journal of Mathematics},
volume = {40},
year = {1996},
number = {4},
pages = {678--691},
issn = {0019-2082},
coden = {IJMTAW},
mrclass = {60G44 (31B05 60E15 60G46)},
mrnumber = {1415025 (99a:60047)},
mrreviewer = {B. Grigelionis},
url = {http://projecteuclid.org/getRecord?id=euclid.ijm/1255985943}
}
@article{MR1396714,
author = {Ba{\~n}uelos, R. and van den Berg, M.},
title = {Dirichlet eigenfunctions for horn-shaped regions and
{L}aplacians on cross sections},
journal = {J. London Math. Soc. (2)},
fjournal = {Journal of the London Mathematical Society. Second Series},
volume = {53},
year = {1996},
number = {3},
pages = {503--511},
issn = {0024-6107},
coden = {JLMSAK},
mrclass = {35J25 (35B45)},
mrnumber = {1396714 (98f:35034)},
mrreviewer = {H. Ding}
}
@article{MR1387227,
author = {Ba{\~n}uelos, Rodrigo and Carroll, Tom},
title = {Addendum to: ``{B}rownian motion and the fundamental frequency
of a drum'' [{D}uke {M}ath.\ {J}. {\bf 75} (1994), no.\ 3,
575--602; {MR}1291697 (96m:31003)]},
journal = {Duke Math. J.},
fjournal = {Duke Mathematical Journal},
volume = {82},
year = {1996},
number = {1},
pages = {227},
issn = {0012-7094},
coden = {DUMJAO},
mrclass = {31A25 (30C85 35P15 60J65)},
mrnumber = {1387227 (97f:31004)},
mrreviewer = {V. M. Isakov},
doi = {10.1215/S0012-7094-96-08210-1},
url = {http://dx.doi.org/10.1215/S0012-7094-96-08210-1}
}
@article{MR1376068,
author = {Ba{\~n}uelos, R.},
title = {Sharp estimates for {D}irichlet eigenfunctions in simply
connected domains},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {125},
year = {1996},
number = {1},
pages = {282--298},
issn = {0022-0396},
coden = {JDEQAK},
mrclass = {35J05 (35B45 35J25)},
mrnumber = {1376068 (97a:35037)},
mrreviewer = {Xiaoyun Ma},
doi = {10.1006/jdeq.1996.0032},
url = {http://dx.doi.org/10.1006/jdeq.1996.0032}
}
@article{MR1370109,
author = {Ba{\~n}uelos, Rodrigo and Wang, Gang},
title = {Sharp inequalities for martingales with applications to the
{B}eurling-{A}hlfors and {R}iesz transforms},
journal = {Duke Math. J.},
fjournal = {Duke Mathematical Journal},
volume = {80},
year = {1995},
number = {3},
pages = {575--600},
issn = {0012-7094},
coden = {DUMJAO},
mrclass = {60G44 (30C80 60G46)},
mrnumber = {1370109 (96k:60108)},
mrreviewer = {Tao Qian},
doi = {10.1215/S0012-7094-95-08020-X},
url = {http://dx.doi.org/10.1215/S0012-7094-95-08020-X}
}
@article{MR1361734,
author = {Ba{\~n}uelos, Rodrigo and S{\'a} Barreto, Ant{\^o}nio},
title = {On the heat trace of {S}chr\"odinger operators},
journal = {Comm. Partial Differential Equations},
fjournal = {Communications in Partial Differential Equations},
volume = {20},
year = {1995},
number = {11-12},
pages = {2153--2164},
issn = {0360-5302},
coden = {CPDIDZ},
mrclass = {35J10 (35K05 35P05 47F05)},
mrnumber = {1361734 (97b:35031)},
mrreviewer = {Yehuda Pinchover},
doi = {10.1080/03605309508821166},
url = {http://dx.doi.org/10.1080/03605309508821166}
}
@article{MR1357628,
author = {Ba{\~n}uelos, Rodrigo and Housworth, Elizabeth},
title = {An isoperimetric-type inequality for integrals of {G}reen's
functions},
journal = {Michigan Math. J.},
fjournal = {The Michigan Mathematical Journal},
volume = {42},
year = {1995},
number = {3},
pages = {603--611},
issn = {0026-2285},
mrclass = {30C75 (31A05)},
mrnumber = {1357628 (96j:30038)},
mrreviewer = {Tom Carroll},
doi = {10.1307/mmj/1029005316},
url = {http://dx.doi.org/10.1307/mmj/1029005316}
}
@incollection{MR1335458,
author = {Ba{\~n}uelos, Rodrigo and Carroll, Tom},
title = {An improvement of the {O}sserman constant for the bass note of
a drum},
booktitle = {Stochastic analysis ({I}thaca, {NY}, 1993)},
series = {Proc. Sympos. Pure Math.},
volume = {57},
pages = {3--10},
publisher = {Amer. Math. Soc.},
address = {Providence, RI},
year = {1995},
mrclass = {31A25 (30C85 35P15 60J65)},
mrnumber = {1335458 (96m:31004)},
mrreviewer = {V. M. Isakov}
}
@article{MR1291697,
author = {Ba{\~n}uelos, Rodrigo and Carroll, Tom},
title = {Brownian motion and the fundamental frequency of a drum},
journal = {Duke Math. J.},
fjournal = {Duke Mathematical Journal},
volume = {75},
year = {1994},
number = {3},
pages = {575--602},
issn = {0012-7094},
coden = {DUMJAO},
mrclass = {31A25 (30C85 35P15 60J65)},
mrnumber = {1291697 (96m:31003)},
mrreviewer = {V. M. Isakov},
doi = {10.1215/S0012-7094-94-07517-0},
url = {http://dx.doi.org/10.1215/S0012-7094-94-07517-0}
}
@article{MR1272772,
author = {Ba{\~n}uelos, Rodrigo and Davis, Burgess},
title = {Erratum: ``{S}harp estimates for {D}irichlet eigenfunctions in
horn-shaped regions'' [{C}omm.\ {M}ath.\ {P}hys.\ {\bf 150}
(1992), no.\ 1, 209--215; {MR}1188505 (93i:35020)]},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {162},
year = {1994},
number = {1},
pages = {215--216},
issn = {0010-3616},
coden = {CMPHAY},
mrclass = {35B40 (35P20 47F05)},
mrnumber = {1272772},
url = {http://projecteuclid.org/getRecord?id=euclid.cmp/1104270120}
}
@article{MR1263550,
author = {Ba{\~n}uelos, Rodrigo and Brossard, Jean},
title = {The area integral and its density for {BMO} and {VMO}
functions},
journal = {Ark. Mat.},
fjournal = {Arkiv f\"or Matematik},
volume = {31},
year = {1993},
number = {2},
pages = {175--196},
issn = {0004-2080},
coden = {AKMTAJ},
mrclass = {42B25},
mrnumber = {1263550 (95g:42029)},
mrreviewer = {Douglas Kurtz},
doi = {10.1007/BF02559482},
url = {http://dx.doi.org/10.1007/BF02559482}
}
@article{MR1226834,
author = {Ba{\~n}uelos, Rodrigo and Carroll, Tom},
title = {Conditioned {B}rownian motion and hyperbolic geodesics in
simply connected domains},
journal = {Michigan Math. J.},
fjournal = {Michigan Mathematical Journal},
volume = {40},
year = {1993},
number = {2},
pages = {321--332},
issn = {0026-2285},
mrclass = {60J45},
mrnumber = {1226834 (94k:60116)},
mrreviewer = {Michael Cranston},
doi = {10.1307/mmj/1029004755},
url = {http://dx.doi.org/10.1307/mmj/1029004755}
}
@article{MR1206335,
author = {Ba{\~n}uelos, Rodrigo and Davis, Burgess},
title = {A geometrical characterization of intrinsic ultracontractivity
for planar domains with boundaries given by the graphs of
functions},
journal = {Indiana Univ. Math. J.},
fjournal = {Indiana University Mathematics Journal},
volume = {41},
year = {1992},
number = {4},
pages = {885--913},
issn = {0022-2518},
coden = {IUMJAB},
mrclass = {60J45 (60J60)},
mrnumber = {1206335 (94g:60142)},
mrreviewer = {Michael Cranston},
doi = {10.1512/iumj.1992.41.41049},
url = {http://dx.doi.org/10.1512/iumj.1992.41.41049}
}
@article{MR1188505,
author = {Ba{\~n}uelos, Rodrigo and Davis, Burgess},
title = {Sharp estimates for {D}irichlet eigenfunctions in horn-shaped
regions},
journal = {Comm. Math. Phys.},
fjournal = {Communications in Mathematical Physics},
volume = {150},
year = {1992},
number = {1},
pages = {209--215},
issn = {0010-3616},
coden = {CMPHAY},
mrclass = {35B40 (35P20 47F05)},
mrnumber = {1188505 (93i:35020)},
url = {http://projecteuclid.org/getRecord?id=euclid.cmp/1104251791}
}
@incollection{MR1155852,
author = {Ba{\~n}uelos, Rodrigo},
title = {Lifetime and heat kernel estimates in nonsmooth domains},
booktitle = {Partial differential equations with minimal smoothness and
applications ({C}hicago, {IL}, 1990)},
series = {IMA Vol. Math. Appl.},
volume = {42},
pages = {37--48},
publisher = {Springer},
address = {New York},
year = {1992},
mrclass = {31B05 (35C15 35J10 35K05 60J35)},
mrnumber = {1155852 (93c:31005)},
mrreviewer = {Yehuda Pinchover}
}
@article{MR1131398,
author = {Ba{\~n}uelos, Rodrigo and Bass, Richard F. and Burdzy,
Krzysztof},
title = {H\"older domains and the boundary {H}arnack principle},
journal = {Duke Math. J.},
fjournal = {Duke Mathematical Journal},
volume = {64},
year = {1991},
number = {1},
pages = {195--200},
issn = {0012-7094},
coden = {DUMJAO},
mrclass = {35J67 (31B25)},
mrnumber = {1131398 (92g:35077)},
mrreviewer = {V. M. Isakov},
doi = {10.1215/S0012-7094-91-06408-2},
url = {http://dx.doi.org/10.1215/S0012-7094-91-06408-2}
}
@article{MR1124298,
author = {Ba{\~n}uelos, Rodrigo},
title = {Intrinsic ultracontractivity and eigenfunction estimates for
{S}chr\"odinger operators},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {100},
year = {1991},
number = {1},
pages = {181--206},
issn = {0022-1236},
coden = {JFUAAW},
mrclass = {35J10 (35P15 47F05 81Q05)},
mrnumber = {1124298 (92k:35066)},
mrreviewer = {J. A. Goldstein},
doi = {10.1016/0022-1236(91)90107-G},
url = {http://dx.doi.org/10.1016/0022-1236(91)90107-G}
}
@article{MR1112195,
author = {Ba{\~n}uelos, R. and Moore, Ch. N.},
title = {Distribution function inequalities for the density of the area
integral},
journal = {Ann. Inst. Fourier (Grenoble)},
fjournal = {Universit\'e de Grenoble. Annales de l'Institut Fourier},
volume = {41},
year = {1991},
number = {1},
pages = {137--171},
issn = {0373-0956},
coden = {AIFUA7},
mrclass = {42B25 (31B05 42A61 60G40 60G46)},
mrnumber = {1112195 (92k:42025)},
mrreviewer = {Andrew Bennett},
url = {http://www.numdam.org/item?id=AIF_1991__41_1_137_0}
}
@article{MR1057948,
author = {Ba{\~n}uelos, Rodrigo and Moore, Charles N.},
title = {Mean growth of {B}loch functions and {M}akarov's law of the
iterated logarithm},
journal = {Proc. Amer. Math. Soc.},
fjournal = {Proceedings of the American Mathematical Society},
volume = {112},
year = {1991},
number = {3},
pages = {851--854},
issn = {0002-9939},
coden = {PAMYAR},
mrclass = {30C35 (46E15)},
mrnumber = {1057948 (91m:30011)},
mrreviewer = {Aristomenis Siskakis},
doi = {10.2307/2048709},
url = {http://dx.doi.org/10.2307/2048709}
}
@article{MR1054531,
author = {Ba{\~n}uelos, R. and Klemes, I. and Moore, C.},
title = {The lower bound in the law of the iterated logarithm for
harmonic functions},
journal = {Duke Math. J.},
fjournal = {Duke Mathematical Journal},
volume = {60},
year = {1990},
number = {3},
pages = {689--715},
issn = {0012-7094},
coden = {DUMJAO},
mrclass = {31A05 (31A15)},
mrnumber = {1054531 (92d:31001)},
mrreviewer = {T. J. Lyons},
doi = {10.1215/S0012-7094-90-06028-4},
url = {http://dx.doi.org/10.1215/S0012-7094-90-06028-4}
}
@article{MR1042064,
author = {Ba{\~n}uelos, Rodrigo and Bass, Richard F. and Burdzy,
Krzysztof},
title = {A representation of local time for {L}ipschitz surfaces},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {84},
year = {1990},
number = {4},
pages = {521--547},
issn = {0178-8051},
coden = {PTRFEU},
mrclass = {60J65 (60J55)},
mrnumber = {1042064 (91f:60139)},
mrreviewer = {D. L. Burkholder},
doi = {10.1007/BF01198318},
url = {http://dx.doi.org/10.1007/BF01198318}
}
@incollection{MR1009169,
author = {Ba{\~n}uelos, Rodrigo and Moore, Charles N.},
title = {Some results in analysis related to the law of the iterated
logarithm},
booktitle = {Analysis at {U}rbana, {V}ol.\ {I} ({U}rbana, {IL},
1986--1987)},
series = {London Math. Soc. Lecture Note Ser.},
volume = {137},
pages = {47--80},
publisher = {Cambridge Univ. Press},
address = {Cambridge},
year = {1989},
mrclass = {30B10 (30D40 31A20 60F15)},
mrnumber = {1009169 (90i:30002)},
mrreviewer = {T. J. Lyons}
}
@article{MR999496,
author = {Ba{\~n}uelos, Rodrigo and Davis, Burgess},
title = {Heat kernel, eigenfunctions, and conditioned {B}rownian motion
in planar domains},
journal = {J. Funct. Anal.},
fjournal = {Journal of Functional Analysis},
volume = {84},
year = {1989},
number = {1},
pages = {188--200},
issn = {0022-1236},
coden = {JFUAAW},
mrclass = {60J65 (35K99 58G11)},
mrnumber = {999496 (91a:60203)},
mrreviewer = {Terry R. McConnell},
doi = {10.1016/0022-1236(89)90118-3},
url = {http://dx.doi.org/10.1016/0022-1236(89)90118-3}
}
@article{MR997386,
author = {Ba{\~n}uelos, Rodrigo and Moore, Charles N.},
title = {Laws of the iterated logarithm, sharp good-{$\lambda$}
inequalities and {$L^p$}-estimates for caloric and harmonic
functions},
journal = {Indiana Univ. Math. J.},
fjournal = {Indiana University Mathematics Journal},
volume = {38},
year = {1989},
number = {2},
pages = {315--344},
issn = {0022-2518},
coden = {IUMJAB},
mrclass = {42B25 (31A20)},
mrnumber = {997386 (90k:42035)},
mrreviewer = {William T. Sledd},
doi = {10.1512/iumj.1989.38.38016},
url = {http://dx.doi.org/10.1512/iumj.1989.38.38016}
}
@article{MR957080,
author = {Ba{\~n}uelos, Rodrigo and Moore, Charles N.},
title = {Sharp estimates for the nontangential maximal function and the
{L}usin area function in {L}ipschitz domains},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {312},
year = {1989},
number = {2},
pages = {641--662},
issn = {0002-9947},
coden = {TAMTAM},
mrclass = {42B25 (31A20)},
mrnumber = {957080 (90i:42030)},
mrreviewer = {William T. Sledd},
doi = {10.2307/2001004},
url = {http://dx.doi.org/10.2307/2001004}
}
@article{MR955015,
author = {Ba{\~n}uelos, Rodrigo and Bennett, Andrew G.},
title = {Paraproducts and commutators of martingale transforms},
journal = {Proc. Amer. Math. Soc.},
fjournal = {Proceedings of the American Mathematical Society},
volume = {103},
year = {1988},
number = {4},
pages = {1226--1234},
issn = {0002-9939},
coden = {PAMYAR},
mrclass = {60G46 (60G44)},
mrnumber = {955015 (89m:60108)},
mrreviewer = {Roger L. Jones},
doi = {10.2307/2047118},
url = {http://dx.doi.org/10.2307/2047118}
}
@article{MR952225,
author = {Ba{\~n}uelos, Rodrigo and Klemes, Ivo and Moore, Charles N.},
title = {An analogue for harmonic functions of {K}olmogorov's law of
the iterated logarithm},
journal = {Duke Math. J.},
fjournal = {Duke Mathematical Journal},
volume = {57},
year = {1988},
number = {1},
pages = {37--68},
issn = {0012-7094},
coden = {DUMJAO},
mrclass = {42B25 (31A05 60F15)},
mrnumber = {952225 (89k:42019)},
mrreviewer = {Rainer Wittmann},
doi = {10.1215/S0012-7094-88-05702-X},
url = {http://dx.doi.org/10.1215/S0012-7094-88-05702-X}
}
@article{MR931943,
author = {Ba{\~n}uelos, Rodrigo},
title = {A sharp good-{$\lambda$} inequality with an application to
{R}iesz transforms},
journal = {Michigan Math. J.},
fjournal = {The Michigan Mathematical Journal},
volume = {35},
year = {1988},
number = {1},
pages = {117--125},
issn = {0026-2285},
mrclass = {42B20 (60G46)},
mrnumber = {931943 (89c:42023)},
mrreviewer = {Mario Milman},
doi = {10.1307/mmj/1029003685},
url = {http://dx.doi.org/10.1307/mmj/1029003685}
}
@article{MR912657,
author = {Ba{\~n}uelos, Rodrigo},
title = {On an estimate of {C}ranston and {M}c{C}onnell for elliptic
diffusions in uniform domains},
journal = {Probab. Theory Related Fields},
fjournal = {Probability Theory and Related Fields},
volume = {76},
year = {1987},
number = {3},
pages = {311--323},
issn = {0178-8051},
coden = {PTRFEU},
mrclass = {60J60 (60J65)},
mrnumber = {912657 (89c:60090)},
mrreviewer = {Terry R. McConnell},
doi = {10.1007/BF01297488},
url = {http://dx.doi.org/10.1007/BF01297488}
}
@article{MR892696,
author = {Ba{\~n}uelos, R. and {\O}ksendal, B.},
title = {Exit times for elliptic diffusions and {BMO}},
journal = {Proc. Edinburgh Math. Soc. (2)},
fjournal = {Proceedings of the Edinburgh Mathematical Society. Series II},
volume = {30},
year = {1987},
number = {2},
pages = {273--287},
issn = {0013-0915},
coden = {PEMSA3},
mrclass = {58G32 (30D55 60J60)},
mrnumber = {892696 (88m:58199)},
mrreviewer = {Joanna B. Mitro},
doi = {10.1017/S0013091500028339},
url = {http://dx.doi.org/10.1017/S0013091500028339}
}
@article{MR887316,
author = {Ba{\~n}uelos, Rodrigo},
title = {A note on martingale transforms and {$A_p$}-weights},
journal = {Studia Math.},
fjournal = {Polska Akademia Nauk. Instytut Matematyczny. Studia
Mathematica},
volume = {85},
year = {1987},
number = {2},
pages = {125--135},
issn = {0039-3223},
coden = {SMATAZ},
mrclass = {60G46 (42B20)},
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