Rodrigo Bañuelos

2018
    A weighted maximal inequality for differentially subordinate martingales
    Bañuelos, Rodrigo and Osękowski, Adam
    Proceedings of the American Mathematical Society, p. 2263--2275. 2018 
    [bibtex] 

    Weighted $L^2$ inequalities for square functions
    Bañuelos, Rodrigo and Osękowski, Adam
    Transactions of the American Mathematical Society, p. 2391--2422. 2018 
    [bibtex]

2017
    Sharp weak type inequalities for fractional integral operators
    Bañuelos, Rodrigo and Osękowski, Adam
    Potential Analysis,  p. 103--121. 2017 
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    Introduction to memorial issue for Donald Burkholder (1927--2013)
    Bañuelos, Rodrigo and Davis, Burgess
    The Annals of Probability, p. 1--3. 2017 
    [bibtex] 

2016
    Hardy-Stein identities and square functions for semigroups
    Bañuelos, Rodrigo and Bogdan, Krzysztof and Luks, Tomasz
    Journal of the London Mathematical Society. Second Series, p. 462--478. 2016 
    [bibtex] 

2015
    On Astala's theorem for martingales and Fourier multipliers
    Bañuelos, Rodrigo and Osękowski, Adam
    Advances in Mathematics, p. 275--302. 2015 
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    Sharp martingale inequalities and applications to Riesz transforms on manifolds, Lie groups and Gauss space
    Bañuelos, Rodrigo and Osękowski, Adam
    Journal of Functional Analysi,  p. 1652--1713. 2015 
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    Weighted norm inequalities for fractional maximal operators: a Bellman function approach
    Bañuelos, Rodrigo and Osękowski, Adam
    Indiana University Mathematics Journal, p. 957--972. 2015 
    [bibtex] 

    Probabilistic approach to fractional integrals and the Hardy-Littlewood-Sobolev inequality
    Applebaum, David and Bañuelos, Rodrigo
    Analytic methods in interdisciplinary applications Springer, Cham. p. 17--40. 2015 
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    On the first eigenfunction of the symmetric stable process in a bounded Lipschitz domain
    Bañuelos, Rodrigo and DeBlassie, Dante
    Potential Analysis, p. 573--583. 2015 
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    Heat content and small time asymptotics for Schr\"odinger operators on $\Bbb R^d$
    Valverde, Luis Acu\~na and Bañuelos, Rodrigo
    Potential Analysis.  p. 457--482. 2015 
    [bibtex] 

2014
    Sharp maximal $L^p$-estimates for martingales
    Bañuelos, Rodrigo and Osękowski, Adam
    Illinois Journal of Mathematics, p. 149--165. 2014 
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    On the Bellman function of Nazarov, Treil and Volberg
    Bañuelos, Rodrigo and Osękowski, Adam
    Mathematische Zeitschrift, p. 385--399. 2014 
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    Martingale transform and L\'evy processes on Lie groups
    Applebaum, David and Bañuelos, Rodrigo
    Indiana University Mathematics Journal, p. 1109--1138. 2014 
    [bibtex] 

    On the operator $\Lambda^*$ and the Beurling-Ahlfors transform on radial functions
    Bañuelos, Rodrigo and Osękowski, Adam
    Michigan Mathematical Journal, p. 213--221. 2014 
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    Two-term trace estimates for relativistic stable processes
    Bañuelos, Rodrigo and Mijena, Jebessa B. and Nane, Erkan
    Journal of Mathematical Analysis and Applications, p. 837--846. 2014 
    [bibtex] 

2013
    Burkholder inequalities for submartingales, Bessel processes and conformal martingales
    Bañuelos, Rodrigo and Osękowski, Adam
    American Journal of Mathematics, p. 1675--1698. 2013 
    [bibtex] 

    Martingale transforms and their projection operators on manifolds
    Bañuelos, Rodrigo and Baudoin, Fabrice
    Potential Analysis, p. 1071--1089. 2013 
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    Heat trace of non-local operators
    Bañuelos, Rodrigo and Yolcu, Selma Y\i ld\i r\i m
    Journal of the London Mathematical Society. Second Series, p. 304--318. 2013 
    [bibtex] 

    Sharp inequalities for the Beurling-Ahlfors transform on radial functions
    Bañuelos, Rodrigo and Osękowski, Adam
    Duke Mathematical Journal, p. 417--434. 2013 
    [bibtex] 

2012
    Martingales and sharp bounds for Fourier multipliers
    Bañuelos, Rodrigo and Osękowski, Adam
    Annales Academi\ae Scientiarum Fennic\ae . Mathematica p. 251--263. 2012 
    [bibtex] 

2011
    Fourier multipliers for non-symmetric L\'evy processes
    Bañuelos, Rodrigo and Bielaszewski, Adam and Bogdan, Krzysztof
    Marcinkiewicz centenary volume Polish Acad. Sci. Inst. Math., Warsaw. p. 9--25. 2011 
    [bibtex] 

    The maximal expected lifetime of Brownian motion
    Bañuelos, Rodrigo and Carroll, Tom
    Mathematical Proceedings of the Royal Irish Academy, p. 1--11. 2011 
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2010
    The foundational inequalities of D. L. Burkholder and some of their ramifications
    Bañuelos, Rodrigo
    Illinois Journal of Mathematics, p. 789--868 (2012). 2010 
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    Eigenvalue inequalities for mixed Steklov problems
    Bañuelos, Rodrigo and Kulczycki, Tadeusz and Polterovich, Iosif and Siudeja, Bart\l omiej
    Operator theory and its applications Amer. Math. Soc., Providence, RI. p. 19--34. 2010 
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    Stretching convex domains and the hyperbolic metric
    Bañuelos, Rodrigo and Carroll, Tom
    The Quarterly Journal of Mathematics, p. 265--273. 2010 
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    Symmetrization of L\'evy processes and applications
    Bañuelos, Rodrigo and M\'endez-Hern\'andez, Pedro J.
    Journal of Functional Analysis, p. 4026--4051. 2010 
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2009
    On the weak-type constant of the Beurling-Ahlfors transform
    Bañuelos, Rodrigo and Janakiraman, Prabhu
    Michigan Mathematical Journal, p. 459--477. 2009 
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    On the trace of symmetric stable processes on Lipschitz domains
    Bañuelos, Rodrigo and Kulczycki, Tadeusz and Siudeja, Bart\l omiej
    Journal of Functional Analysis, p. 3329--3352. 2009 
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    Neumann Bessel heat kernel monotonicity
    Bañuelos, R. and Kulczycki, T. and Siudeja, B.
    Potential Analysis, p. 65--83. 2009 
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2008
    Stability and approximations of eigenvalues and eigenfunctions for the Neumann Laplacian. I
    Bañuelos, Rodrigo and Pang, Michael M. H.
    Electronic Journal of Differential Equations, p. No. 145, 13. 2008 
    [bibtex] 

    Trace estimates for stable processes
    Bañuelos, Rodrigo and Kulczycki, Tadeusz
    Probability Theory and Related Fields, p. 313--338. 2008 
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    $L^p$-bounds for the Beurling-Ahlfors transform
    Bañuelos, Rodrigo and Janakiraman, Prabhu
    Transactions of the American Mathematical Society, p. 3603--3612. 2008 
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2007
    L\'evy processes and Fourier multipliers
    Bañuelos, Rodrigo and Bogdan, Krzysztof
    Journal of Functional Analysis, p. 197--213. 2007 
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2006
    Spectral gap for the Cauchy process on convex, symmetric domains
    Bañuelos, Rodrigo and Kulczycki, Tadeusz
    Communications in Partial Differential Equations, p. 1841--1878. 2006 
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    Hot-spots for conditioned Brownian motion
    Bañuelos, Rodrigo and M\'endez-Hern\'andez, Pedro J.
    Illinois Journal of Mathematics, p. 1--32. 2006 
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    Level sets of Neumann eigenfunctions
    Bañuelos, Rodrigo and Pang, Michael M. H.
    Indiana University Mathematics Journal p. 923--939. 2006 
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    On the shape of the ground state eigenfunction for stable processes
    Bañuelos, Rodrigo and Kulczycki, Tadeusz and Mendez-Hern'andez, Pedro J.
    Potential Analysis,  p. 205--221. 2006 
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    Eigenvalue gaps for the Cauchy process and a Poincar\'e inequality
    Bañuelos, Rodrigo and Kulczycki, Tadeusz
    Journal of Functional Analysis, p. 199--225. 2006 
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    The exit distribution of iterated Brownian motion in cones
    Bañuelos, Rodrigo and DeBlassie, Dante
    Stochastic Processes and their Applications, p. 36--69. 2006 
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2005
    Symmetric stable processes in parabola-shaped regions
    Bañuelos, Rodrigo and Bogdan, Krzysztof
    Proceedings of the American Mathematical Society, p. 3581--3587. 2005 
    [bibtex] 

    Sharp integrability for Brownian motion in parabola-shaped regions
    Bañuelos, Rodrigo and Carroll, Tom
    Journal of Functional Analysis, p. 219--253. 2005 
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2004
    Brownian motion with killing and reflection and the ``hot-spots'' problem
    Bañuelos, Rodrigo and Pang, Michael and Pascu, Mihai
    Probability Theory and Related Fields, p. 56--68. 2004 
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    Symmetric stable processes in cones
    Bañuelos, Rodrigo and Bogdan, Krzysztof
    Potential Analysis,  p. 263--288. 2004 
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    The Cauchy process and the Steklov problem
    Bañuelos, Rodrigo and Kulczycki, Tadeusz
    Journal of Functional Analysis, p. 355--423. 2004 
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    An inequality for potentials and the ``hot-spots'' conjecture
    Bañuelos, Rodrigo and Pang, Michael
    Indiana University Mathematics Journal, p. 35--47. 2004 
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2003
    Space-time Brownian motion and the Beurling-Ahlfors transform
    Bañuelos, R. and M\'endez-Hern\'andez, P. J.
    Indiana University Mathematics Journal, p. 981--990. 2003 
    [bibtex] 

2002
    Torsional rigidity and expected lifetime of Brownian motion
    Bañuelos, Rodrigo and van den Berg, M. and Carroll, Tom
    Journal of the London Mathematical Society. Second Series, p. 499--512. 2002 
    [bibtex] 

2001
    Gradient estimates for the ground state Schr\"odinger eigenfunction and applications
    Bañuelos, Rodrigo and Kr\"oger, Pawel
    Communications in Mathematical Physics, p. 545--550. 2001 
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    The first exit time of planar Brownian motion from the interior of a parabola
    Bañuelos, Rodrigo and DeBlassie, R. Dante and Smits, Robert
    The Annals of Probability p. 882--901. 2001 
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    A Brascamp-Lieb-Luttinger-type inequality and applications to symmetric stable processes
    Bañuelos, Rodrigo and Lata\l a, Rafa\l and M\'endez-Hern\'andez, Pedro J.
    Proceedings of the American Mathematical Society p. 2997--3008. 2001 
    [bibtex] 

2000
    Extremal problems for conditioned Brownian motion and the hyperbolic metric
    Bañuelos, R. and Carroll, T.
    Universit\'e de Grenoble. Annales de l'Institut Fourier p. 1507--1532. 2000 
    [bibtex] 

    Sharp inequalities for heat kernels of Schr\"odinger operators and applications to spectral gaps
    Bañuelos, Rodrigo and M\'endez-Hern\'andez, Pedro J.
    Journal of Functional Analysis p. 368--399. 2000 
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    Davis's inequality for orthogonal martingales under differential subordination
    Bañuelos, Rodrigo and Wang, Gang
    Michigan Mathematical Journal p. 109--124. 2000 
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1999
    Probabilistic behavior of harmonic functions
    Bañuelos, Rodrigo and Moore, Charles N.
    Birkh\"auser Verlag, Basel. p. xiv+204. 1999 
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    On the ``hot spots'' conjecture of J. Rauch
    Bañuelos, Rodrigo and Burdzy, Krzysztof
    Journal of Functional Analysis, p. 1--33. 1999 
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    Lower bound gradient estimates for solutions of Schr\"odinger equations and heat kernels
    Bañuelos, Rodrigo and Pang, Michael M. H.
    Communications in Partial Differential Equations, p. 499--543. 1999 
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1998
    Inradius and integral means for Green's functions and conformal mappings
    Bañuelos, Rodrigo and Carroll, Tom and Housworth, Elizabeth
    Proceedings of the American Mathematical Society, p. 577--585. 1998 
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1997
    Brownian motion in cones
    Bañuelos, Rodrigo and Smits, Robert G.
    Probability Theory and Related Fields, p. 299--319. 1997 
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    Isoperimetric-type bounds for solutions of the heat equation
    Bañuelos, Rodrigo and Kr\"oger, Pawel
    Indiana University Mathematics Journal, p. 83--91. 1997 
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    A martingale study of the Beurling-Ahlfors transform in ${\bf R^n$}
    Bañuelos, Rodrigo and Lindeman, II, Arthur
    Journal of Functional Analysis, p. 224--265. 1997 
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1996
    Orthogonal martingales under differential subordination and applications to Riesz transforms
    Bañuelos, Rodrigo and Wang, Gang
    Illinois Journal of Mathematics, p. 678--691. 1996 
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    Dirichlet eigenfunctions for horn-shaped regions and Laplacians on cross sections
    Bañuelos, R. and van den Berg, M.
    Journal of the London Mathematical Society. Second Series, p. 503--511. 1996 
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    Sharp estimates for Dirichlet eigenfunctions in simply connected domains
    Bañuelos, Rodrigo
    Journal of Differential Equations, p. 282--298. 1996 
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1995
    Sharp inequalities for martingales with applications to the Beurling-Ahlfors and Riesz transforms
    Bañuelos, Rodrigo and Wang, Gang
    Duke Mathematical Journal, p. 575--600. 1995 
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    On the heat trace of Schr\"odinger operators
    Bañuelos, Rodrigo and S\'a Barreto, Ant\^onio
    Communications in Partial Differential Equations, p. 2153--2164. 1995 
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    An isoperimetric-type inequality for integrals of Green's functions
    Bañuelos, Rodrigo and Housworth, Elizabeth
    Michigan Mathematical Journal, p. 603--611. 1995 
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    An improvement of the Osserman constant for the bass note of a drum
    Bañuelos, Rodrigo and Carroll, Tom
    Stochastic analysis (Ithaca, NY, 1993) Amer. Math. Soc., Providence, RI. p. 3--10. 1995 
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1994
    Brownian motion and the fundamental frequency of a drum
    Bañuelos, Rodrigo and Carroll, Tom
    Duke Mathematical Journal, p. 575--602. 1994 
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1993
    The area integral and its density for BMO and VMO functions
    Bañuelos, Rodrigo and Brossard, Jean
    Arkiv f\"or Matematik, p. 175--196. 1993 
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    Conditioned Brownian motion and hyperbolic geodesics in simply connected domains
    Bañuelos, Rodrigo and Carroll, Tom
    Michigan Mathematical Journal, p. 321--332. 1993 
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1992
    A geometrical characterization of intrinsic ultracontractivity for planar domains with boundaries given by the graphs of functions
    Bañuelos, Rodrigo and Davis, Burgess
    Indiana University Mathematics Journal, p. 885--913. 1992 
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    Sharp estimates for Dirichlet eigenfunctions in horn-shaped regions
    Bañuelos, Rodrigo and Davis, Burgess
    Communications in Mathematical Physics, p. 209--215. 1992 
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    Lifetime and heat kernel estimates in nonsmooth domains
    Bañuelos, Rodrigo
    Partial differential equations with minimal smoothness and applications (Chicago, IL, 1990) Springer, New York. p. 37--48. 1992 
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1991
    H\"older domains and the boundary Harnack principle
    Bañuelos, Rodrigo and Bass, Richard F. and Burdzy, Krzysztof
    Duke Mathematical Journal, p. 195--200. 1991 
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    Intrinsic ultracontractivity and eigenfunction estimates for Schr\"odinger operators
    Bañuelos, Rodrigo
    Journal of Functional Analysis, p. 181--206. 1991 
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    Distribution function inequalities for the density of the area integral
    Bañuelos, R. and Moore, Ch. N.
    Universit\'e de Grenoble. Annales de l'Institut Fourier, p. 137--171. 1991 
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    Mean growth of Bloch functions and Makarov's law of the iterated logarithm
    Bañuelos, Rodrigo and Moore, Charles N.
    Proceedings of the American Mathematical Society, p. 851--854. 1991 
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1990
    The lower bound in the law of the iterated logarithm for harmonic functions
    Bañuelos, R. and Klemes, I. and Moore, C.
    Duke Mathematical Journal p. 689--715. 1990 
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    A representation of local time for Lipschitz surfaces
    Bañuelos, Rodrigo and Bass, Richard F. and Burdzy, Krzysztof
    Probability Theory and Related Fields p. 521--547. 1990 
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1989
    Some results in analysis related to the law of the iterated logarithm
    Bañuelos, Rodrigo and Moore, Charles N.
    Analysis at Urbana, Vol. I (Urbana, IL, 1986--1987) Cambridge Univ. Press, Cambridge. p. 47--80. 1989 
    [bibtex] 

    Heat kernel, eigenfunctions, and conditioned Brownian motion in planar domains
    Bañuelos, Rodrigo and Davis, Burgess
    Journal of Functional Analysis p. 188--200. 1989 
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    Laws of the iterated logarithm, sharp good-$\lambda$ inequalities and $L^p$-estimates for caloric and harmonic functions
    Bañuelos, Rodrigo and Moore, Charles N.
    Indiana University Mathematics Journal, p. 315--344. 1989 
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    Sharp estimates for the nontangential maximal function and the Lusin area function in Lipschitz domains
    Bañuelos, Rodrigo and Moore, Charles N.
    Transactions of the American Mathematical Society, p. 641--662. 1989 
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1988
    Paraproducts and commutators of martingale transforms
    Bañuelos, Rodrigo and Bennett, Andrew G.
    Proceedings of the American Mathematical Society, p. 1226--1234. 1988 
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    An analogue for harmonic functions of Kolmogorov's law of the iterated logarithm
    Bañuelos, Rodrigo and Klemes, Ivo and Moore, Charles N.
    Duke Mathematical Journal, p. 37--68. 1988 
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    A sharp good-$\lambda$ inequality with an application to Riesz transforms
    Bañuelos, Rodrigo
    Michigan Mathematical Journal, p. 117--125. 1988 
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1987
    On an estimate of Cranston and McConnell for elliptic diffusions in uniform domains
    Bañuelos, Rodrigo
    Probability Theory and Related Fields, p. 311--323. 1987 
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    Exit times for elliptic diffusions and BMO
    Bañuelos, R. and Øksendal, B.
    Proceedings of the Edinburgh Mathematical Society. Series II p. 273--287. 1987 
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    A note on martingale transforms and $A_p$-weights
    Bañuelos, Rodrigo
    Polska Akademia Nauk. Instytut Matematyczny. Studia Mathematica p. 125--135. 1987 
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    A stochastic approach to quasi-everywhere boundary convergence of harmonic functions
    Bañuelos, Rodrigo and Øksendal, Bernt
    Journal of Functional Analysis p. 13--27. 1987 
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1986
    Brownian motion and area functions
    Bañuelos, Rodrigo
    Indiana University Mathematics Journal p. 643--668. 1986 
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    Martingale transforms and related singular integrals
    Bañuelos, Rodrigo
    Transactions of the American Mathematical Society p. 547--563. 1986 
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1985
    Note on H^2 on planar domains
    Bañuelos, R. and Wolff, T.
    Proceedings of the American Mathematical Society p. 217--218. 1985 
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1984
    MARTINGALE TRANSFORMS, RELATED SINGULAR INTEGRALS, AND A_p-WEIGHTS
    Banuelos, Rodrigo
    ProQuest LLC, Ann Arbor, MI. p. 77. 1984 
    [bibtex]