Edit Profile (opens in new tab) Bañuelos, Rodrigo Co-Author Distance Author ID: banuelos.rodrigo Published as: Bañuelos, Rodrigo; Bañuelos, R. Homepage: https://www.math.purdue.edu/people/bio/banuelos/home External Links: MGP · Wikidata · Google Scholar · dblp · GND · IdRef Documents Indexed: 109 Publications since 1985, including 1 Book and 7 Additional arXiv Preprints 1 Contribution as Editor Biographic References: 2 Publications Co-Authors: 44 Co-Authors with 101 Joint Publications 816 Co-Co-Authors all top 5 Co-Authors 9 single-authored 16 Osękowski, Adam 10 Carroll, Tom 8 Kulczycki, Tadeusz 8 Moore, Charles Nelson 6 Davis, Burgess 6 Méndez-Hernández, Pedro J. 5 Bogdan, Krzysztof 5 Pang, Michael M. H. 4 Baudoin, Fabrice 3 Burdzy, Krzysztof 3 Kim, Daesung 3 Kwaśnicki, Mateusz 3 Siudeja, Bartłomiej Andrzej 3 Wang, Gang 2 Applebaum, David B. 2 Bass, Richard F. 2 Chen, Li 2 Deblassie, Dante 2 Housworth, Elizabeth Ann 2 Janakiraman, Prabhu 2 Klemes, Ivo 2 Kröger, Pawel 2 Øksendal, Bernt Karsten 2 Smits, Robert G. 2 van den Berg, Michiel 1 Acuña Valverde, Luis 1 Bennett, Andrew G. 1 Bielaszewski, Adam 1 Brossard, Jean 1 Brzozowski, Michał 1 DeBlassie, Richard Dante 1 Gałązka, Tomasz 1 Latała, Rafał 1 Lindeman, Arthur II 1 Luks, Tomasz 1 Mariano, Phanuel A. 1 Mijena, Jebessa B. 1 Nane, Erkan 1 Polterovich, Iosif 1 Sá Barreto, Antônio 1 Sire, Yannick 1 Wang, Jing 1 Wolff, Thomas H. 1 Yolcu, Selma Yıldırım all top 5 Serials 14 Journal of Functional Analysis 9 Indiana University Mathematics Journal 8 Duke Mathematical Journal 8 Proceedings of the American Mathematical Society 7 Potential Analysis 6 Michigan Mathematical Journal 5 Transactions of the American Mathematical Society 5 Probability Theory and Related Fields 4 Illinois Journal of Mathematics 4 Journal of the London Mathematical Society. Second Series 3 Communications in Mathematical Physics 3 Communications in Partial Differential Equations 2 Journal of Mathematical Analysis and Applications 2 Annales de l’Institut Fourier 2 The Annals of Probability 1 Studia Mathematica 1 Arkiv för Matematik 1 Advances in Mathematics 1 American Journal of Mathematics 1 Bulletin of the London Mathematical Society 1 Journal of Differential Equations 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Stochastic Processes and their Applications 1 Electronic Journal of Differential Equations (EJDE) 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Mathematical Proceedings of the Royal Irish Academy 1 The Quarterly Journal of Mathematics 1 Progress in Mathematics all top 5 Fields 76 Probability theory and stochastic processes (60-XX) 28 Partial differential equations (35-XX) 27 Harmonic analysis on Euclidean spaces (42-XX) 20 Potential theory (31-XX) 9 Functions of a complex variable (30-XX) 9 Global analysis, analysis on manifolds (58-XX) 7 Operator theory (47-XX) 4 Real functions (26-XX) 3 Functional analysis (46-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Difference and functional equations (39-XX) 2 Abstract harmonic analysis (43-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 History and biography (01-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 97 Publications have been cited 1,246 times in 695 Documents Cited by ▼ Year ▼ Sharp inequalities for martingales with applications to the Beurling-Ahlfors and Riesz transforms. Zbl 0853.60040 Bañuelos, Rodrigo; Wang, Gang 94 1995 On the “hot spots” conjecture of J. Rauch. Zbl 0938.35045 Bañuelos, Rodrigo; Burdzy, Krzysztof 65 1999 Intrinsic ultracontractivity and eigenfunction estimates for Schrödinger operators. Zbl 0766.47025 Bañuelos, Rodrigo 55 1991 The Cauchy process and the Steklov problem. Zbl 1055.60072 Bañuelos, Rodrigo; Kulczycki, Tadeusz 52 2004 Brownian motion in cones. Zbl 0884.60037 Bañuelos, Rodrigo; Smits, Robert G. 50 1997 \(L^p\)-bounds for the Beurling-Ahlfors transform. Zbl 1220.42012 Bañuelos, Rodrigo; Janakiraman, Prabhu 41 2008 Brownian motion and the fundamental frequency of a drum. Zbl 0817.58046 Bañuelos, Rodrigo; Carroll, Tom 39 1994 Lévy processes and Fourier multipliers. Zbl 1123.42002 Bañuelos, Rodrigo; Bogdan, Krzysztof 38 2007 Space-time Brownian motion and the Beurling-Ahlfors transform. Zbl 1080.60043 Bañuelos, R.; Méndez-Hernández, P. J. 35 2003 A Brascamp-Lieb-Luttinger-type inequality and applications to symmetric stable processes. Zbl 0974.60037 Bañuelos, Rodrigo; Latala, Rafal; Méndez-Hernández, Pedro J. 32 2001 The foundational inequalities of D. L. Burkholder and some of their ramifications. Zbl 1259.60047 Bañuelos, Rodrigo 29 2010 The first exit time of planar Brownian motion from the interior of a parabola. Zbl 1013.60060 Bañuelos, Rodrigo; DeBlassie, R. Dante; Smits, Robert 27 2001 Torsional rigidity and expected lifetime of Brownian motion. Zbl 1014.60076 Bañuelos, Rodrigo; van den Berg, M.; Carroll, Tom 26 2002 Symmetric stable processes in cones. Zbl 1054.31002 Bañuelos, Rodrigo; Bogdan, Krzysztof 24 2004 Hölder domains and the boundary Harnack principle. Zbl 0755.35027 Bañuelos, Rodrigo; Bass, Richard F.; Burdzy, Krzysztof 23 1991 Fourier multipliers for non-symmetric Lévy processes. Zbl 1242.42008 Bañuelos, Rodrigo; Bielaszewski, Adam; Bogdan, Krzysztof 22 2011 On the trace of symmetric stable processes on Lipschitz domains. Zbl 1189.60100 Bañuelos, Rodrigo; Kulczycki, Tadeusz; Siudeja, Bartłomiej 22 2009 Trace estimates for stable processes. Zbl 1184.60012 Bañuelos, Rodrigo; Kulczycki, Tadeusz 22 2008 Heat kernel, eigenfunctions, and conditioned Brownian motion in planar domains. Zbl 0676.60073 Bañuelos, Rodrigo; Davis, Burgess 21 1989 A geometrical characterization of intrinsic ultracontractivity for planar domains with boundaries given by the graphs of functions. Zbl 0836.60082 Bañuelos, Rodrigo; Davis, Burgess 21 1992 Sharp martingale inequalities and applications to Riesz transforms on manifolds, Lie groups and Gauss space. Zbl 1341.60029 Bañuelos, Rodrigo; Osȩkowski, Adam 21 2015 Martingale transforms and related singular integrals. Zbl 0591.60045 Bañuelos, Rodrigo 20 1986 Martingale transforms and their projection operators on manifolds. Zbl 1280.58022 Bañuelos, Rodrigo; Baudoin, Fabrice 19 2013 Eigenvalue inequalities for mixed Steklov problems. Zbl 1217.35127 Bañuelos, Rodrigo; Kulczycki, Tadeusz; Polterovich, Iosif; Siudeja, Bartłomiej 18 2010 Martingales and sharp bounds for Fourier multipliers. Zbl 1266.42020 Bañuelos, Rodrigo; Osękowski, Adam 17 2012 A martingale study of the Beurling-Ahlfors transform in \(\mathbb{R}^ n\). Zbl 0876.60026 Bañuelos, Rodrigo; Lindeman, Arthur II 17 1997 On an estimate of Cranston and McConnell for elliptic diffusions in uniform domains. Zbl 0611.60071 Bañuelos, Rodrigo 16 1987 Sharp inequalities for heat kernels of Schrödinger operators and applications to spectral gaps. Zbl 0966.35090 Bañuelos, Rodrigo; Méndez-Hernández, Pedro J. 15 2000 On the shape of the ground state eigenfunction for stable processes. Zbl 1105.31006 Bañuelos, Rodrigo; Kulczycki, Tadeusz; Méndez-Hernández, Pedro J. 15 2006 Heat trace of non-local operators. Zbl 1270.35142 Bañuelos, Rodrigo; Yolcu, Selma Yıldırım 14 2013 On the heat trace of Schrödinger operators. Zbl 0843.35016 Bañuelos, Rodrigo; Sá Barreto, Antônio 13 1995 Probabilistic behavior of harmonic functions. Zbl 0944.60007 Bañuelos, Rodrigo; Moore, Charles N. 13 1999 The exit distribution for iterated Brownian motion in cones. Zbl 1085.60058 Bañuelos, Rodrigo; Deblassie, Dante 11 2006 Paraproducts and commutators of martingale transforms. Zbl 0663.60043 Bañuelos, Rodrigo; Bennett, Andrew G. 10 1988 On the weak-type constant of the Beurling-Ahlfors transform. Zbl 1184.42004 Bañuelos, Rodrigo; Janakiraman, Prabhu 10 2009 Orthogonal martingales under differential subordination and applications to Riesz transforms. Zbl 0883.60042 Bañuelos, Rodrigo; Wang, Gang 10 1996 Weighted \(L^2\) inequalities for square functions. Zbl 1398.42009 Bañuelos, Rodrigo; Osȩkowski, Adam 10 2018 Exit times for elliptic diffusions and BMO. Zbl 0625.60088 Bañuelos, R.; Øksendal, Bernt 9 1987 Eigenvalue gaps for the Cauchy process and a Poincaré inequality. Zbl 1089.60029 Bañuelos, Rodrigo; Kulczycki, Tadeusz 9 2006 Lifetime and heat kernel estimates in non-smooth domains. Zbl 0797.60069 Bañuelos, Rodrigo 9 1992 The maximal expected lifetime of Brownian motion. Zbl 1318.60082 Bañuelos, Rodrigo; Carroll, Tom 9 2011 A sharp good-\(\lambda\) inequality with an application to Riesz transforms. Zbl 0662.60057 Bañuelos, Rodrigo 8 1988 Sharp estimates for Dirichlet eigenfunctions in simply connected domains. Zbl 0856.35093 Bañuelos, R. 8 1996 Davis’s inequality for orthogonal martingales under differential subordination. Zbl 0967.60051 Bañuelos, Rodrigo; Wang, Gang 8 2000 Dirichlet eigenfunctions for horn-shaped regions and Laplacians on cross sections. Zbl 0863.35070 Bañuelos, R.; van den Berg, M. 8 1996 Hardy-Stein identities and square functions for semigroups. Zbl 1354.42027 Bañuelos, Rodrigo; Bogdan, Krzysztof; Luks, Tomasz 8 2016 Spectral gap for the Cauchy process on convex, symmetric domains. Zbl 1123.60029 Bañuelos, Rodrigo; Kulczycki, Tadeusz 7 2006 Sharp integrability for Brownian motion in parabola-shaped regions. Zbl 1061.60082 Bañuelos, Rodrigo; Carroll, Tom 7 2005 Sharp estimates for Dirichlet eigenfunctions in horn-shaped regions. Zbl 0772.35042 Bañuelos, Rodrigo; Davis, Burgess 7 1992 Brownian motion and area functions. Zbl 0624.60058 Bañuelos, Rodrigo 7 1986 Heat content and small time asymptotics for Schrödinger operators on \(\mathbb R^d\). Zbl 1322.60157 Acuña Valverde, Luis; Bañuelos, Rodrigo 7 2015 Two-term trace estimates for relativistic stable processes. Zbl 1307.60060 Bañuelos, Rodrigo; Mijena, Jebessa B.; Nane, Erkan 7 2014 Sharp maximal \(L^{p}\)-estimates for martingales. Zbl 1316.60059 Bañuelos, Rodrigo; Osękowski, Adam 7 2014 Sharp inequalities for the Beurling-Ahlfors transform on radial functions. Zbl 1277.60076 Bañuelos, Rodrigo; Osȩkowski, Adam 7 2013 Symmetrization of Lévy processes and applications. Zbl 1194.60031 Bañuelos, Rodrigo; Méndez-Hernández, Pedro J. 6 2010 Extremal problems for conditioned Brownian motion and the hyperbolic metric. Zbl 0963.31001 Bañuelos, Rodrigo; Carroll, Tom 6 2000 An inequality for potentials and the “hot-spots” conjecture. Zbl 1058.31003 Bañuelos, Rodrigo; Pang, Michael 6 2004 An analogue for harmonic functions of Kolmogorov’s law of the iterated logarithm. Zbl 0666.31002 Bañuelos, Rodrigo; Klemes, Ivo; Moore, Charles N. 5 1988 Sharp estimates for nontangential maximal function and the Lusin area function in Lipschitz domains. Zbl 0675.42016 Bañuelos, Rodrigo; Moore, Charles N. 5 1989 An isoperimetric-type inequality for integrals of Green’s functions. Zbl 0849.31006 Bañuelos, Rodrigo; Housworth, Elizabeth 5 1995 Gradient estimates for the ground state Schrödinger eigenfunction and applications. Zbl 1079.35077 Bañuelos, Rodrigo; Kröger, Pawel 5 2001 Brownian motion with killing and reflection and the “hot-spots” problem. Zbl 1064.60175 Bañuelos, Rodrigo; Pang, Michael; Pascu, Mihai 5 2004 Martingale transform and Lévy processes on Lie groups. Zbl 1301.60057 Applebaum, David; Bañuelos, Rodrigo 5 2014 Burkholder inequalities for submartingales, Bessel processes and conformal martingales. Zbl 1286.60041 Bañuelos, Rodrigo; Osȩkowski, Adam 5 2013 Symmetric stable processes in parabola-shaped regions. Zbl 1080.31003 Bañuelos, Rodrigo; Bogdan, Krzysztof 4 2005 Conditioned Brownian motion and hyperbolic geodesics in simply connected domains. Zbl 0805.60077 Bañuelos, Rodrigo; Carroll, Tom 4 1993 On the Bellman function of Nazarov, Treil and Volberg. Zbl 1311.42065 Bañuelos, Rodrigo; Osȩkowski, Adam 4 2014 On Astala’s theorem for martingales and Fourier multipliers. Zbl 1341.42023 Bañuelos, Rodrigo; Osȩkowski, Adam 4 2015 On the \(\ell^p\)-norm of the discrete Hilbert transform. Zbl 1466.60156 Bañuelos, Rodrigo; Kwaśnicki, Mateusz 4 2019 A stochastic approach to quasi-everywhere boundary convergence of harmonic functions. Zbl 0636.60078 Bañuelos, Rodrigo; Øksendal, Bernt 3 1987 A weighted maximal inequality for differentially subordinate martingales. Zbl 1390.60159 Bañuelos, Rodrigo; Osękowski, Adam 3 2018 Lower bound gradient estimates for solutions of Schrödinger equations and heat kernels. Zbl 0924.35019 Bañuelos, Rodrigo; Pang, Michael M. H. 3 1999 Level sets of Neumann eigenfunctions. Zbl 1106.35037 Bañuelos, Rodrigo; Pang, Michael M. H. 3 2006 Neumann Bessel heat kernel monotonicity. Zbl 1165.60030 Bañuelos, R.; Kulczycki, T.; Siudeja, B. 3 2009 Laws of the iterated logarithm, sharp good-\(\lambda\) inequalities and \(L^ p\)-estimates for caloric and harmonic functions. Zbl 0718.31002 Bañuelos, Rodrigo; Moore, Charles N. 3 1989 Mean growth of Bloch functions and Makarov’s law of the iterated logarithm. Zbl 0737.30024 Bañuelos, Rodrigo; Moore, Charles N. 3 1991 The area integral and its density for BMO and VMO functions. Zbl 0803.42008 Bañuelos, Rodrigo; Brossard, Jean 3 1993 Sharp weak type inequalities for fractional integral operators. Zbl 1375.26013 Bañuelos, Rodrigo; Osȩkowski, Adam 3 2017 An improvement of the Osserman constant for the bass note of a drum. Zbl 0846.58052 Bañuelos, Rodrigo; Carroll, Tom 2 1995 Stability and approximations of eigenvalues and eigenfunctions for the Neumann Laplacian. I. Zbl 1173.35614 Bañuelos, Rodrigo; Pang, Michael M. H. 2 2008 Addendum to “Brownian motion and the fundamental frequency of a drum”. Zbl 0847.58075 Bañuelos, Rodrigo; Carroll, Tom 2 1996 Hot-spots for conditioned Brownian motion. Zbl 1106.47015 Bañuelos, Rodrigo; Mendez-Hernandez, Pedro J. 2 2006 Isoperimetric-type bounds for solutions of the heat equation. Zbl 0913.35052 Bañuelos, Rodrigo; Kröger, Pawel 2 1997 Erratum: Sharp estimates for Dirichlet eigenfunctions in Horn-shaped regions. Zbl 0805.35082 Bañuelos, Rodrigo; Davis, Burgess 2 1994 Gundy-Varopoulos martingale transforms and their projection operators on manifolds and vector bundles. Zbl 1462.58018 Bañuelos, Rodrigo; Baudoin, Fabrice; Chen, Li 2 2020 Hardy-Stein identity for non-symmetric Lévy processes and Fourier multipliers. Zbl 1479.60092 Bañuelos, Rodrigo; Kim, Daesung 2 2019 A representation of local time for Lipschitz surfaces. Zbl 0669.60074 Bañuelos, Rodrigo; Bass, Richard F.; Burdzy, Krzysztof 1 1990 Some results in analysis related to the law of the iterated logarithm. Zbl 0677.60036 Bañuelos, Rodrigo; Moore, Charles N. 1 1989 Note on \(H^ 2\) on planar domains. Zbl 0582.30025 Bañuelos, R.; Wolff, T. 1 1985 Inradius and integral means for Green’s functions and conformal mappings. Zbl 0899.30011 Bañuelos, Rodrigo; Carroll, Tom; Housworth, Elizabeth 1 1998 The lower bound in the law of the iterated logarithm for harmonic functions. Zbl 0718.60027 Bañuelos, R.; Klemeš, I.; Moore, C. 1 1990 Distribution function inequalities for the density of the area integral. Zbl 0727.42016 Bañuelos, R.; Moore, Ch. N. 1 1991 On the first eigenfunction of the symmetric stable process in a bounded Lipschitz domain. Zbl 1315.60053 Bañuelos, Rodrigo; DeBlassie, Dante 1 2015 Bounds for exit times of Brownian motion and the first Dirichlet eigenvalue for the Laplacian. Zbl 1521.60046 Bañuelos, Rodrigo; Mariano, Phanuel; Wang, Jing 1 2023 Stretching convex domains and the hyperbolic metric. Zbl 1213.30004 Bañuelos, Rodrigo; Carroll, Tom 1 2010 On the operator \(\Lambda^{\ast}\) and the Beurling-Ahlfors transform on radial functions. Zbl 1286.42013 Bañuelos, Rodrigo; Osękowski, Adam 1 2014 Stability in Burkholder’s differentially subordinate martingales inequalities and applications to Fourier multipliers. Zbl 1403.42009 Bañuelos, Rodrigo; Osękowski, Adam 1 2018 Bounds for exit times of Brownian motion and the first Dirichlet eigenvalue for the Laplacian. Zbl 1521.60046 Bañuelos, Rodrigo; Mariano, Phanuel; Wang, Jing 1 2023 Gundy-Varopoulos martingale transforms and their projection operators on manifolds and vector bundles. Zbl 1462.58018 Bañuelos, Rodrigo; Baudoin, Fabrice; Chen, Li 2 2020 On the \(\ell^p\)-norm of the discrete Hilbert transform. Zbl 1466.60156 Bañuelos, Rodrigo; Kwaśnicki, Mateusz 4 2019 Hardy-Stein identity for non-symmetric Lévy processes and Fourier multipliers. Zbl 1479.60092 Bañuelos, Rodrigo; Kim, Daesung 2 2019 Weighted \(L^2\) inequalities for square functions. Zbl 1398.42009 Bañuelos, Rodrigo; Osȩkowski, Adam 10 2018 A weighted maximal inequality for differentially subordinate martingales. Zbl 1390.60159 Bañuelos, Rodrigo; Osękowski, Adam 3 2018 Stability in Burkholder’s differentially subordinate martingales inequalities and applications to Fourier multipliers. Zbl 1403.42009 Bañuelos, Rodrigo; Osękowski, Adam 1 2018 Sharp weak type inequalities for fractional integral operators. Zbl 1375.26013 Bañuelos, Rodrigo; Osȩkowski, Adam 3 2017 Hardy-Stein identities and square functions for semigroups. Zbl 1354.42027 Bañuelos, Rodrigo; Bogdan, Krzysztof; Luks, Tomasz 8 2016 Sharp martingale inequalities and applications to Riesz transforms on manifolds, Lie groups and Gauss space. Zbl 1341.60029 Bañuelos, Rodrigo; Osȩkowski, Adam 21 2015 Heat content and small time asymptotics for Schrödinger operators on \(\mathbb R^d\). Zbl 1322.60157 Acuña Valverde, Luis; Bañuelos, Rodrigo 7 2015 On Astala’s theorem for martingales and Fourier multipliers. Zbl 1341.42023 Bañuelos, Rodrigo; Osȩkowski, Adam 4 2015 On the first eigenfunction of the symmetric stable process in a bounded Lipschitz domain. Zbl 1315.60053 Bañuelos, Rodrigo; DeBlassie, Dante 1 2015 Two-term trace estimates for relativistic stable processes. Zbl 1307.60060 Bañuelos, Rodrigo; Mijena, Jebessa B.; Nane, Erkan 7 2014 Sharp maximal \(L^{p}\)-estimates for martingales. Zbl 1316.60059 Bañuelos, Rodrigo; Osękowski, Adam 7 2014 Martingale transform and Lévy processes on Lie groups. Zbl 1301.60057 Applebaum, David; Bañuelos, Rodrigo 5 2014 On the Bellman function of Nazarov, Treil and Volberg. Zbl 1311.42065 Bañuelos, Rodrigo; Osȩkowski, Adam 4 2014 On the operator \(\Lambda^{\ast}\) and the Beurling-Ahlfors transform on radial functions. Zbl 1286.42013 Bañuelos, Rodrigo; Osękowski, Adam 1 2014 Martingale transforms and their projection operators on manifolds. Zbl 1280.58022 Bañuelos, Rodrigo; Baudoin, Fabrice 19 2013 Heat trace of non-local operators. Zbl 1270.35142 Bañuelos, Rodrigo; Yolcu, Selma Yıldırım 14 2013 Sharp inequalities for the Beurling-Ahlfors transform on radial functions. Zbl 1277.60076 Bañuelos, Rodrigo; Osȩkowski, Adam 7 2013 Burkholder inequalities for submartingales, Bessel processes and conformal martingales. Zbl 1286.60041 Bañuelos, Rodrigo; Osȩkowski, Adam 5 2013 Martingales and sharp bounds for Fourier multipliers. Zbl 1266.42020 Bañuelos, Rodrigo; Osękowski, Adam 17 2012 Fourier multipliers for non-symmetric Lévy processes. Zbl 1242.42008 Bañuelos, Rodrigo; Bielaszewski, Adam; Bogdan, Krzysztof 22 2011 The maximal expected lifetime of Brownian motion. Zbl 1318.60082 Bañuelos, Rodrigo; Carroll, Tom 9 2011 The foundational inequalities of D. L. Burkholder and some of their ramifications. Zbl 1259.60047 Bañuelos, Rodrigo 29 2010 Eigenvalue inequalities for mixed Steklov problems. Zbl 1217.35127 Bañuelos, Rodrigo; Kulczycki, Tadeusz; Polterovich, Iosif; Siudeja, Bartłomiej 18 2010 Symmetrization of Lévy processes and applications. Zbl 1194.60031 Bañuelos, Rodrigo; Méndez-Hernández, Pedro J. 6 2010 Stretching convex domains and the hyperbolic metric. Zbl 1213.30004 Bañuelos, Rodrigo; Carroll, Tom 1 2010 On the trace of symmetric stable processes on Lipschitz domains. Zbl 1189.60100 Bañuelos, Rodrigo; Kulczycki, Tadeusz; Siudeja, Bartłomiej 22 2009 On the weak-type constant of the Beurling-Ahlfors transform. Zbl 1184.42004 Bañuelos, Rodrigo; Janakiraman, Prabhu 10 2009 Neumann Bessel heat kernel monotonicity. Zbl 1165.60030 Bañuelos, R.; Kulczycki, T.; Siudeja, B. 3 2009 \(L^p\)-bounds for the Beurling-Ahlfors transform. Zbl 1220.42012 Bañuelos, Rodrigo; Janakiraman, Prabhu 41 2008 Trace estimates for stable processes. Zbl 1184.60012 Bañuelos, Rodrigo; Kulczycki, Tadeusz 22 2008 Stability and approximations of eigenvalues and eigenfunctions for the Neumann Laplacian. I. Zbl 1173.35614 Bañuelos, Rodrigo; Pang, Michael M. H. 2 2008 Lévy processes and Fourier multipliers. Zbl 1123.42002 Bañuelos, Rodrigo; Bogdan, Krzysztof 38 2007 On the shape of the ground state eigenfunction for stable processes. Zbl 1105.31006 Bañuelos, Rodrigo; Kulczycki, Tadeusz; Méndez-Hernández, Pedro J. 15 2006 The exit distribution for iterated Brownian motion in cones. Zbl 1085.60058 Bañuelos, Rodrigo; Deblassie, Dante 11 2006 Eigenvalue gaps for the Cauchy process and a Poincaré inequality. Zbl 1089.60029 Bañuelos, Rodrigo; Kulczycki, Tadeusz 9 2006 Spectral gap for the Cauchy process on convex, symmetric domains. Zbl 1123.60029 Bañuelos, Rodrigo; Kulczycki, Tadeusz 7 2006 Level sets of Neumann eigenfunctions. Zbl 1106.35037 Bañuelos, Rodrigo; Pang, Michael M. H. 3 2006 Hot-spots for conditioned Brownian motion. Zbl 1106.47015 Bañuelos, Rodrigo; Mendez-Hernandez, Pedro J. 2 2006 Sharp integrability for Brownian motion in parabola-shaped regions. Zbl 1061.60082 Bañuelos, Rodrigo; Carroll, Tom 7 2005 Symmetric stable processes in parabola-shaped regions. Zbl 1080.31003 Bañuelos, Rodrigo; Bogdan, Krzysztof 4 2005 The Cauchy process and the Steklov problem. Zbl 1055.60072 Bañuelos, Rodrigo; Kulczycki, Tadeusz 52 2004 Symmetric stable processes in cones. Zbl 1054.31002 Bañuelos, Rodrigo; Bogdan, Krzysztof 24 2004 An inequality for potentials and the “hot-spots” conjecture. Zbl 1058.31003 Bañuelos, Rodrigo; Pang, Michael 6 2004 Brownian motion with killing and reflection and the “hot-spots” problem. Zbl 1064.60175 Bañuelos, Rodrigo; Pang, Michael; Pascu, Mihai 5 2004 Space-time Brownian motion and the Beurling-Ahlfors transform. Zbl 1080.60043 Bañuelos, R.; Méndez-Hernández, P. J. 35 2003 Torsional rigidity and expected lifetime of Brownian motion. Zbl 1014.60076 Bañuelos, Rodrigo; van den Berg, M.; Carroll, Tom 26 2002 A Brascamp-Lieb-Luttinger-type inequality and applications to symmetric stable processes. Zbl 0974.60037 Bañuelos, Rodrigo; Latala, Rafal; Méndez-Hernández, Pedro J. 32 2001 The first exit time of planar Brownian motion from the interior of a parabola. Zbl 1013.60060 Bañuelos, Rodrigo; DeBlassie, R. Dante; Smits, Robert 27 2001 Gradient estimates for the ground state Schrödinger eigenfunction and applications. Zbl 1079.35077 Bañuelos, Rodrigo; Kröger, Pawel 5 2001 Sharp inequalities for heat kernels of Schrödinger operators and applications to spectral gaps. Zbl 0966.35090 Bañuelos, Rodrigo; Méndez-Hernández, Pedro J. 15 2000 Davis’s inequality for orthogonal martingales under differential subordination. Zbl 0967.60051 Bañuelos, Rodrigo; Wang, Gang 8 2000 Extremal problems for conditioned Brownian motion and the hyperbolic metric. Zbl 0963.31001 Bañuelos, Rodrigo; Carroll, Tom 6 2000 On the “hot spots” conjecture of J. Rauch. Zbl 0938.35045 Bañuelos, Rodrigo; Burdzy, Krzysztof 65 1999 Probabilistic behavior of harmonic functions. Zbl 0944.60007 Bañuelos, Rodrigo; Moore, Charles N. 13 1999 Lower bound gradient estimates for solutions of Schrödinger equations and heat kernels. Zbl 0924.35019 Bañuelos, Rodrigo; Pang, Michael M. H. 3 1999 Inradius and integral means for Green’s functions and conformal mappings. Zbl 0899.30011 Bañuelos, Rodrigo; Carroll, Tom; Housworth, Elizabeth 1 1998 Brownian motion in cones. Zbl 0884.60037 Bañuelos, Rodrigo; Smits, Robert G. 50 1997 A martingale study of the Beurling-Ahlfors transform in \(\mathbb{R}^ n\). Zbl 0876.60026 Bañuelos, Rodrigo; Lindeman, Arthur II 17 1997 Isoperimetric-type bounds for solutions of the heat equation. Zbl 0913.35052 Bañuelos, Rodrigo; Kröger, Pawel 2 1997 Orthogonal martingales under differential subordination and applications to Riesz transforms. Zbl 0883.60042 Bañuelos, Rodrigo; Wang, Gang 10 1996 Sharp estimates for Dirichlet eigenfunctions in simply connected domains. Zbl 0856.35093 Bañuelos, R. 8 1996 Dirichlet eigenfunctions for horn-shaped regions and Laplacians on cross sections. Zbl 0863.35070 Bañuelos, R.; van den Berg, M. 8 1996 Addendum to “Brownian motion and the fundamental frequency of a drum”. Zbl 0847.58075 Bañuelos, Rodrigo; Carroll, Tom 2 1996 Sharp inequalities for martingales with applications to the Beurling-Ahlfors and Riesz transforms. Zbl 0853.60040 Bañuelos, Rodrigo; Wang, Gang 94 1995 On the heat trace of Schrödinger operators. Zbl 0843.35016 Bañuelos, Rodrigo; Sá Barreto, Antônio 13 1995 An isoperimetric-type inequality for integrals of Green’s functions. Zbl 0849.31006 Bañuelos, Rodrigo; Housworth, Elizabeth 5 1995 An improvement of the Osserman constant for the bass note of a drum. Zbl 0846.58052 Bañuelos, Rodrigo; Carroll, Tom 2 1995 Brownian motion and the fundamental frequency of a drum. Zbl 0817.58046 Bañuelos, Rodrigo; Carroll, Tom 39 1994 Erratum: Sharp estimates for Dirichlet eigenfunctions in Horn-shaped regions. Zbl 0805.35082 Bañuelos, Rodrigo; Davis, Burgess 2 1994 Conditioned Brownian motion and hyperbolic geodesics in simply connected domains. Zbl 0805.60077 Bañuelos, Rodrigo; Carroll, Tom 4 1993 The area integral and its density for BMO and VMO functions. Zbl 0803.42008 Bañuelos, Rodrigo; Brossard, Jean 3 1993 A geometrical characterization of intrinsic ultracontractivity for planar domains with boundaries given by the graphs of functions. Zbl 0836.60082 Bañuelos, Rodrigo; Davis, Burgess 21 1992 Lifetime and heat kernel estimates in non-smooth domains. Zbl 0797.60069 Bañuelos, Rodrigo 9 1992 Sharp estimates for Dirichlet eigenfunctions in horn-shaped regions. Zbl 0772.35042 Bañuelos, Rodrigo; Davis, Burgess 7 1992 Intrinsic ultracontractivity and eigenfunction estimates for Schrödinger operators. Zbl 0766.47025 Bañuelos, Rodrigo 55 1991 Hölder domains and the boundary Harnack principle. Zbl 0755.35027 Bañuelos, Rodrigo; Bass, Richard F.; Burdzy, Krzysztof 23 1991 Mean growth of Bloch functions and Makarov’s law of the iterated logarithm. Zbl 0737.30024 Bañuelos, Rodrigo; Moore, Charles N. 3 1991 Distribution function inequalities for the density of the area integral. Zbl 0727.42016 Bañuelos, R.; Moore, Ch. N. 1 1991 A representation of local time for Lipschitz surfaces. Zbl 0669.60074 Bañuelos, Rodrigo; Bass, Richard F.; Burdzy, Krzysztof 1 1990 The lower bound in the law of the iterated logarithm for harmonic functions. Zbl 0718.60027 Bañuelos, R.; Klemeš, I.; Moore, C. 1 1990 Heat kernel, eigenfunctions, and conditioned Brownian motion in planar domains. Zbl 0676.60073 Bañuelos, Rodrigo; Davis, Burgess 21 1989 Sharp estimates for nontangential maximal function and the Lusin area function in Lipschitz domains. Zbl 0675.42016 Bañuelos, Rodrigo; Moore, Charles N. 5 1989 Laws of the iterated logarithm, sharp good-\(\lambda\) inequalities and \(L^ p\)-estimates for caloric and harmonic functions. Zbl 0718.31002 Bañuelos, Rodrigo; Moore, Charles N. 3 1989 Some results in analysis related to the law of the iterated logarithm. Zbl 0677.60036 Bañuelos, Rodrigo; Moore, Charles N. 1 1989 Paraproducts and commutators of martingale transforms. Zbl 0663.60043 Bañuelos, Rodrigo; Bennett, Andrew G. 10 1988 A sharp good-\(\lambda\) inequality with an application to Riesz transforms. Zbl 0662.60057 Bañuelos, Rodrigo 8 1988 An analogue for harmonic functions of Kolmogorov’s law of the iterated logarithm. Zbl 0666.31002 Bañuelos, Rodrigo; Klemes, Ivo; Moore, Charles N. 5 1988 On an estimate of Cranston and McConnell for elliptic diffusions in uniform domains. Zbl 0611.60071 Bañuelos, Rodrigo 16 1987 Exit times for elliptic diffusions and BMO. Zbl 0625.60088 Bañuelos, R.; Øksendal, Bernt 9 1987 A stochastic approach to quasi-everywhere boundary convergence of harmonic functions. Zbl 0636.60078 Bañuelos, Rodrigo; Øksendal, Bernt 3 1987 Martingale transforms and related singular integrals. Zbl 0591.60045 Bañuelos, Rodrigo 20 1986 Brownian motion and area functions. Zbl 0624.60058 Bañuelos, Rodrigo 7 1986 Note on \(H^ 2\) on planar domains. Zbl 0582.30025 Bañuelos, R.; Wolff, T. 1 1985 all cited Publications top 5 cited Publications all top 5 Cited by 727 Authors 55 Bañuelos, Rodrigo 55 Osękowski, Adam 17 Bogdan, Krzysztof 16 Burdzy, Krzysztof 15 Kulczycki, Tadeusz 14 Kwaśnicki, Mateusz 14 Siudeja, Bartłomiej Andrzej 14 Song, Renming 12 Steinerberger, Stefan 11 Jiao, Yong 9 Deblassie, Dante 9 Méndez-Hernández, Pedro J. 9 Volberg, Alexander Lvovich 8 Aikawa, Hiroaki 8 Carroll, Tom 8 Janakiraman, Prabhu 8 Kaleta, Kamil 8 Nane, Erkan 7 Chen, Zhen-Qing 7 Lörinczi, József 7 van den Berg, Michiel 6 Acuña Valverde, Luis 6 Davis, Burgess 6 Gałązka, Tomasz 6 Li, Xiang-Dong 6 Murata, Minoru 6 Salakhudinov, Rustem Gumerovich 6 Smits, Robert G. 6 Weth, Tobias 5 Avkhadiev, Farit Gabidinovich 5 Betsakos, Dimitrios 5 Dragičević, Oliver 5 Iwaniec, Tadeusz 5 Kim, Panki 5 Makasu, Cloud 5 Moore, Charles Nelson 5 Pang, Michael M. H. 5 Petermichl, Stefanie 5 Raschel, Kilian 5 Wu, Lian 5 Yaroslavtsev, Ivan S. 5 Yolcu, Selma Yıldırım 4 Bass, Richard F. 4 Baudoin, Fabrice 4 Brasco, Lorenzo 4 Chen, Li 4 DeBlassie, Richard Dante 4 Dipierro, Serena 4 Domelevo, Komla 4 Jarohs, Sven 4 Kovač, Vjekoslav 4 Laugesen, Richard Snyder 4 Li, Huaiqian 4 Małecki, Jacek 4 Markowsky, Greg T. 4 Palmer, Vicente 4 Ryznar, Michał 4 Saksman, Eero 4 Savin, Ovidiu V. 4 Valdinoci, Enrico 4 Wang, Jian 4 Yolcu, Turkay 3 Aliev, Rashid Avazaga 3 Allouba, Hassan 3 Arcozzi, Nicola 3 Astala, Kari 3 Boudabra, Maher 3 Chevalier, Lucien 3 Collet, Pierre 3 De Silva, Daniela 3 Donnelly, Harold 3 Duraj, Jetlir 3 Frank, Rupert L. 3 Geiss, Stefan 3 Grzywny, Tomasz 3 Helffer, Bernard 3 Hurtado, Ana 3 Kendall, Wilfrid S. 3 Kim, Daesung 3 Laptev, Ari 3 Mariano, Phanuel A. 3 Markvorsen, Steen 3 Martinez Aguilera, Servet 3 Miyamoto, Yasuhito 3 Nazarov, Alexander I. 3 Palmowski, Zbigniew 3 Panzo, Hugo 3 Ruan, Huo-Jun 3 San Martín, Jaime 3 Sire, Yannick 3 Sweers, Guido H. 3 Wachtel, Vitali I. 3 Wang, Longmin 3 Xie, Guangheng 3 Yang, Dachun 3 Zuo, Yahui 2 Adamowicz, Tomasz 2 Agarwal, Ravi P. 2 Ahmadova, Aynur Nofel 2 Akboudj, Meryem ...and 627 more Authors all top 5 Cited in 189 Serials 50 Journal of Functional Analysis 43 Potential Analysis 28 Transactions of the American Mathematical Society 22 Probability Theory and Related Fields 21 Journal of Mathematical Analysis and Applications 21 Proceedings of the American Mathematical Society 19 Stochastic Processes and their Applications 15 The Annals of Probability 15 Duke Mathematical Journal 14 Statistics & Probability Letters 13 Journal of Differential Equations 11 Journal d’Analyse Mathématique 10 Journal of Theoretical Probability 10 Communications in Partial Differential Equations 9 Journal of Mathematical Physics 9 Advances in Mathematics 9 Mathematische Zeitschrift 9 Electronic Communications in Probability 8 Illinois Journal of Mathematics 8 Mathematische Annalen 7 Revista Matemática Iberoamericana 7 Journal de Mathématiques Pures et Appliquées. Neuvième Série 7 Electronic Journal of Probability 6 Rocky Mountain Journal of Mathematics 6 Arkiv för Matematik 6 Annali di Matematica Pura ed Applicata. Serie Quarta 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 The Journal of Geometric Analysis 6 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 6 Calculus of Variations and Partial Differential Equations 6 Bernoulli 5 Communications in Mathematical Physics 5 Journal of the London Mathematical Society. Second Series 5 Michigan Mathematical Journal 5 Tôhoku Mathematical Journal. Second Series 5 The Journal of Fourier Analysis and Applications 5 Journal of Spectral Theory 4 Annales de l’Institut Fourier 4 Archiv der Mathematik 4 Mathematische Nachrichten 4 Journal of the American Mathematical Society 4 The Annals of Applied Probability 4 Russian Mathematics 4 Annales Henri Poincaré 4 Computational Methods and Function Theory 3 Communications on Pure and Applied Mathematics 3 Israel Journal of Mathematics 3 Reviews in Mathematical Physics 3 Bulletin of the London Mathematical Society 3 Journal of the Mathematical Society of Japan 3 Monatshefte für Mathematik 3 Probability and Mathematical Statistics 3 Stochastic Analysis and Applications 3 SIAM Journal on Mathematical Analysis 3 Bulletin of the Polish Academy of Sciences, Mathematics 3 Applied and Computational Harmonic Analysis 3 St. Petersburg Mathematical Journal 3 NoDEA. Nonlinear Differential Equations and Applications 3 Discrete and Continuous Dynamical Systems 3 Communications on Pure and Applied Analysis 3 Mediterranean Journal of Mathematics 3 Analysis & PDE 3 Mathematics in Engineering 2 Archive for Rational Mechanics and Analysis 2 Bulletin of the Australian Mathematical Society 2 Russian Mathematical Surveys 2 Canadian Journal of Mathematics 2 Demonstratio Mathematica 2 Integral Equations and Operator Theory 2 Journal of Combinatorial Theory. Series A 2 Journal of Computational and Applied Mathematics 2 Journal für die Reine und Angewandte Mathematik 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Acta Mathematicae Applicatae Sinica. English Series 2 Forum Mathematicum 2 Linear Algebra and its Applications 2 Journal of Mathematical Sciences (New York) 2 Advances in Computational Mathematics 2 Integral Transforms and Special Functions 2 Infinite Dimensional Analysis, Quantum Probability and Related Topics 2 Fractional Calculus & Applied Analysis 2 Communications in Contemporary Mathematics 2 Lobachevskii Journal of Mathematics 2 Journal of Evolution Equations 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Stochastics and Dynamics 2 ALEA. Latin American Journal of Probability and Mathematical Statistics 2 Analysis and Mathematical Physics 2 Stochastic and Partial Differential Equations. Analysis and Computations 1 Computers & Mathematics with Applications 1 Computer Physics Communications 1 International Journal of Control 1 Journal of Computational Physics 1 Journal of Engineering Mathematics 1 Journal of Statistical Physics 1 Letters in Mathematical Physics 1 Lithuanian Mathematical Journal 1 Mathematical Methods in the Applied Sciences 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society ...and 89 more Serials all top 5 Cited in 42 Fields 355 Probability theory and stochastic processes (60-XX) 274 Partial differential equations (35-XX) 112 Harmonic analysis on Euclidean spaces (42-XX) 96 Operator theory (47-XX) 89 Potential theory (31-XX) 50 Functional analysis (46-XX) 48 Functions of a complex variable (30-XX) 41 Global analysis, analysis on manifolds (58-XX) 33 Real functions (26-XX) 30 Calculus of variations and optimal control; optimization (49-XX) 21 Quantum theory (81-XX) 19 Differential geometry (53-XX) 17 Numerical analysis (65-XX) 14 Measure and integration (28-XX) 13 Integral transforms, operational calculus (44-XX) 10 Combinatorics (05-XX) 9 Abstract harmonic analysis (43-XX) 9 Integral equations (45-XX) 8 Ordinary differential equations (34-XX) 8 Difference and functional equations (39-XX) 8 Mechanics of deformable solids (74-XX) 8 Statistical mechanics, structure of matter (82-XX) 5 Several complex variables and analytic spaces (32-XX) 4 Special functions (33-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Approximations and expansions (41-XX) 4 Fluid mechanics (76-XX) 3 Topological groups, Lie groups (22-XX) 3 Convex and discrete geometry (52-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Group theory and generalizations (20-XX) 2 Geometry (51-XX) 2 Statistics (62-XX) 2 Biology and other natural sciences (92-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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