Rodrigo Bañuelos
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American mathematician
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Mathematics
Rodrigo Bañuelos's Degrees
- PhD Mathematics Princeton University
- Masters Mathematics Stanford University
- Bachelors Mathematics University of California, Berkeley
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(Suggest an Edit or Addition)According to Wikipedia, Rodrigo Bañuelos is an American mathematician and a professor of mathematics at Purdue University in West Lafayette, Indiana. His research is in probability and its applications to harmonic analysis and spectral theory.
Rodrigo Bañuelos's Published Works
Published Works
- Sharp inequalities for martingales with applications to the Beurling-Ahlfors and Riesz transforms (1995) (207)
- On the “Hot Spots” Conjecture of J. Rauch (1999) (157)
- The Cauchy process and the Steklov problem (2004) (109)
- Brownian motion in cones (1997) (109)
- Intrinsic ultracontractivity and eigenfunction estimates for Schrodinger operators (1991) (106)
- $L^p$--bounds for the Beurling--Ahlfors transform (2008) (89)
- Space-time Brownian motion and the Beurling-Ahlfors transform (2003) (86)
- Brownian motion and the fundamental frequency of a drum (1994) (83)
- Levy processes and Fourier multipliers (2006) (78)
- The foundational inequalities of D.L. Burkholder and some of their ramifications (2010) (61)
- Probabilistic behavior of harmonic functions (1999) (58)
- Martingale transforms and related singular integrals (1986) (53)
- A Brascamp-Lieb-Luttinger–type inequality and applications to symmetric stable processes (2001) (52)
- Torsional Rigidity and Expected Lifetime of Brownian Motion (2002) (51)
- Trace estimates for stable processes (2007) (51)
- The First Exit Time of Planar Brownian Motion from The Interior Of a Parabola (2001) (48)
- On the Traces of symmetric stable processes on Lipschitz domains (2009) (43)
- Eigenvalue inequalities for mixed Steklov problems (2009) (41)
- Hölder domains and the boundary Harnack principle (1991) (41)
- Heat kernel, eigenfunctions, and conditioned Brownian motion in planar domains (1989) (40)
- Sharp Inequalities for Heat Kernels of Schrödinger Operators and Applications to Spectral Gaps (2000) (38)
- On the Shape of the Ground State Eigenfunction for Stable Processes (2004) (38)
- Symmetric Stable Processes in Cones (2004) (38)
- A Martingale Study of the Beurling–Ahlfors Transform inRn (1997) (38)
- Sharp martingale inequalities and applications to Riesz transforms on manifolds, Lie groups and Gauss space (2013) (35)
- MARTINGALES AND SHARP BOUNDS FOR FOURIER MULTIPLIERS (2011) (34)
- A geometrical characterization of intrinsic ultracontractivity for planar domains with boundaries given by the graphs of functions (1992) (33)
- Fourier multipliers for non-symmetric L\'evy processes (2010) (31)
- Martingale Transforms and Their Projection Operators on Manifolds (2011) (29)
- Heat trace of non‐local operators (2012) (29)
- On the heat trace of schrödinger operators (1995) (27)
- Eigenvalue gaps for the Cauchy process and a Poincaré inequality (2004) (25)
- The exit distribution for iterated Brownian motion in cones (2004) (23)
- Paraproducts and commutators of martingale transforms (1988) (23)
- Orthogonal martingales under differential subordination and applications to Riesz transforms (1996) (22)
- Dirichlet eigenfunctions for horn-shaped regions and laplacians on cross sections (1996) (21)
- Davis's inequality for orthogonal martingales under differential subordination. (2000) (20)
- Exit times for elliptic diffusions and BMO (1987) (20)
- Brownian motion with killing and reflection and the ‘‘hot–spots’’ problem (2004) (20)
- Hardy–Stein identities and square functions for semigroups (2015) (20)
- Sharp estimates for Dirichlet eigenfunctions in Horn-Shaped regions (1992) (18)
- An analogue for harmonic functions of Kolmogorov’s law of the iterated logarithm (1988) (18)
- On the Bellman function of Nazarov, Treil and Volberg (2014) (18)
- On the weak-type constant of the Beurling-Ahlfors transform (2009) (17)
- Burkholder inequalities for submartingales, Bessel processes and conformal martingales (2011) (17)
- An inequality for potentials and the "hot-spots" conjecture (2004) (17)
- THE MAXIMAL EXPECTED LIFETIME OF BROWNIAN MOTION (2011) (17)
- Sharp Estimates for Dirichlet Eigenfunctions in Simply Connected Domains (1996) (17)
- Spectral Gap for the Cauchy Process on Convex, Symmetric Domains (2006) (17)
- Symmetrization of Lévy processes and applications (2010) (15)
- Gradient Estimates for the Ground State¶Schrödinger Eigenfunction and Applications (2001) (14)
- Two-term trace estimates for relativistic stable processes (2013) (14)
- Sharp inequalities for the Beurling–Ahlfors transform on radial functions (2013) (14)
- Sharp integrability for Brownian motion in parabola-shaped regions (2003) (14)
- Extremal Problems for Conditioned Brownian Motion and the Hyperbolic Metric (2000) (13)
- Martingale transform and L\'evy Processes on Lie Groups (2012) (13)
- Sharp estimates for the nontangential maximal function and the Lusin area function in Lipschitz domains (1989) (12)
- Lifetime and Heat Kernel Estimates in Non-Smooth Domains (1992) (12)
- A sharp good-$\lambda$ inequality with an application to Riesz transforms. (1988) (11)
- Probabilistic Approach to Fractional Integrals and the Hardy-Littlewood-Sobolev Inequality (2013) (11)
- The lower bound in the law of the iterated logarithm for harmonic functions (1990) (10)
- LOWER BOUND GRADIENT ESTIMATES FOR SOLUTIONS OF SCHRODINGER EQUATIONS AND HEAT KERNELS (1999) (10)
- Bounds for exit times of Brownian motion and the first Dirichlet eigenvalue for the Laplacian (2020) (10)
- Sharp Weighted $L^2$ inequalities for square functions (2016) (8)
- Mean growth of Bloch functions and Makarov’s law of the iterated logarithm (1991) (8)
- Distribution function inequalities for the density of the area integral (1991) (8)
- Conditioned Brownian motion and hyperbolic geodesics in simply connected domains. (1993) (8)
- An isoperimetric-type inequality for integrals of Green's functions. (1995) (8)
- Donald Burkholder's work in martingales and analysis (2010) (8)
- Sharp Weak Type Inequalities for Fractional Integral Operators (2017) (7)
- Stability in Burkholder's differentially subordinate martingales inequalities and applications to Fourier multipliers (2016) (7)
- Heat Content and Small Time Asymptotics for Schrödinger Operators on ℝd${\mathbb {R}}^{d}$ (2015) (7)
- Sharp maximal $L^p$-estimates for martingales (2013) (7)
- On the First Eigenfunction of the Symmetric Stable Process in a Bounded Lipschitz Domain (2013) (7)
- Inradius and integral means for Green’s functions and conformal mappings (1998) (7)
- On the ℓp-norm of the discrete Hilbert transform (2017) (7)
- Addendum to: “Brownian motion and the fundamental frequency of a drum” (1996) (7)
- Weighted ² inequalities for square functions (2017) (6)
- Symmetric stable processes in parabola-shaped regions (2004) (6)
- Symmetrization of L\'evy processes and applications (2009) (6)
- Isoperimetric-type bounds for solutions of the heat equation (1997) (6)
- Four unknown constants ∗ (2009) (6)
- Stability and approximations of eigenvalues and eigenfunctions for the Neumann Laplacian. I. (2008) (6)
- Hot-spots for conditioned Brownian motion (2006) (6)
- Laws of the iterated logarithm, sharp good-λ inequalities and Lp-estimates for caloric and harmonic functions (1989) (6)
- On Astala's theorem for martingales and Fourier multipliers (2013) (5)
- Hardy–Stein identity for non-symmetric Lévy processes and Fourier multipliers (2019) (5)
- SOME PROPERTIES OF α-HARMONIC MEASURE (2007) (5)
- Weighted square function estimates (2017) (5)
- A Stochastic Approach to Quasi-Everywhere Boundary Convergence of Harmonic Functions (1987) (5)
- Trace asymptotics for subordinate semigroups (2013) (5)
- The area integral and its density for BMO and VMO functions (1993) (5)
- Neumann Bessel Heat Kernel Monotonicity (2009) (4)
- Sharp estimates for Dirichlet eigenfunctions in horn-shaped regions (1992) (4)
- On the equal displacement aproximation for mid-rise reinforced concrete buildings (2019) (4)
- Level sets of neumann eigenfunctions (2006) (4)
- Heat content and small time asymptotics for Schr\"odinger operators on $R^d$ (2014) (3)
- A note on martingale transforms and $A_{p}$-weights (1987) (3)
- Gundy–Varopoulos martingale transforms and their projection operators on manifolds and vector bundles (2018) (3)
- STRETCHING CONVEX DOMAINS AND THE HYPERBOLIC METRIC (2010) (3)
- Analysis at Urbana: Some results in analysis related to the law of the iterated logarithm (1989) (2)
- Neumann Heat kernel monotonicity (2007) (2)
- On the operator ∧* and the Beurling-Ahlfors transform on radial functions (2014) (2)
- Multiplier theorems via martingale transforms (2020) (2)
- A representation of local time for Lipschitz surfaces (1990) (1)
- Influence of some metal salts on the electroreduction of aryl ketones (1978) (1)
- Burkholder’s function and a weighted $L^2$ bound for stochastic integrals (2020) (1)
- On square functions and Fourier multipliers for nonlocal operators (2017) (1)
- Sharp $\ell^p$ inequalities for discrete singular integrals (2022) (1)
- Weighted norm inequalities for fractional maximal operators--a Bellman function approach (2013) (1)
- On the First Eigenfunction of the Symmetric Stable Process in a Bounded Lipschitz Domain (2014) (0)
- The $\ell^p$ norm of the Riesz--Titchmarsh transform for even integer $p$ (2022) (0)
- On the Bellman function of Nazarov, Treil and Volberg (2014) (0)
- Sharp Weak Type Inequalities for Fractional Integral Operators (2016) (0)
- Basic Ideas and Tools (1999) (0)
- Ju l 2 00 4 SYMMETRIC STABLE PROCESSES IN PARABOLA – SHAPED REGIONS (2004) (0)
- Martingale Transforms and Their Projection Operators on Manifolds (2012) (0)
- SP ] 2 M ar 2 01 0 EIGENVALUE INEQUALITIES FOR MIXED STEKLOV PROBLEMS (2021) (0)
- The Classical LIL’s in Analysis (1999) (0)
- P\'olya's inequality for the mixed Steklov problem (2009) (0)
- Gundy–Varopoulos martingale transforms and their projection operators on manifolds and vector bundles (2019) (0)
- Sharp Good-λ Inequalities for A and N (1999) (0)
- Decomposition into Martingales: An Invariance Principle (1999) (0)
- ABSTRACTS OF TALKS PRESENTED TO THE INDIANA (2016) (0)
- PR ] 2 2 N ov 2 01 7 HARDY-STEIN IDENTITY FOR NON-SYMMETRIC LV́EY PROCESSES AND FOURIER MULTIPLIERS (2018) (0)
- Martingales and the Beurling – Ahlfors operator , an overview ∗ (2005) (0)
- WITHDRAWN: Hardy–Stein identity for non-symmetric Lévy processes and Fourier multipliers (2019) (0)
- Talenti’s comparison theorem revisited (2018) (0)
- Martingales transforms, related singular integrals, and A〓p〓-weights (1984) (0)
- Kolmogorov’s LIL for Harmonic Functions (1999) (0)
- A dual approach to Burkholder's Lp estimates (2020) (0)
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