Rodrigo Bañuelos

[1] R. Bañuelos and T. Wolff. Note on H2 on planar domains. Proc. Amer. Math. Soc., 95(2):217-218, 1985.
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[2] Rodrigo Bañuelos. Martingale transforms and related singular integrals. Trans. Amer. Math. Soc., 293(2):547-563, 1986.
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[3] Rodrigo Bañuelos. Brownian motion and area functions. Indiana Univ. Math. J., 35(3):643-668, 1986.
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[4] Rodrigo Bañuelos and Bernt Øksendal. A stochastic approach to quasi-everywhere boundary convergence of harmonic functions. J. Funct. Anal., 72(1):13-27, 1987.
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[5] Rodrigo Bañuelos. A note on martingale transforms and A p-weights. Studia Math., 85(2):125-135, 1987.
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[6] R. Bañuelos and B. Øksendal. Exit times for elliptic diffusions and BMO. Proc. Edinburgh Math. Soc. (2), 30(2):273-287, 1987.
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[7] Rodrigo Bañuelos. On an estimate of Cranston and McConnell for elliptic diffusions in uniform domains. Probab. Theory Related Fields, 76(3):311-323, 1987.
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[8] Rodrigo Bañuelos. A sharp good-λ inequality with an application to Riesz transforms. Michigan Math. J., 35(1):117-125, 1988.
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[9] Rodrigo Bañuelos, Ivo Klemes, and Charles N. Moore. An analogue for harmonic functions of Kolmogorov's law of the iterated logarithm. Duke Math. J., 57(1):37-68, 1988.
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[10] Rodrigo Bañuelos and Andrew G. Bennett. Paraproducts and commutators of martingale transforms. Proc. Amer. Math. Soc., 103(4):1226-1234, 1988.
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[11] Rodrigo Bañuelos and Charles N. Moore. Sharp estimates for the nontangential maximal function and the Lusin area function in Lipschitz domains. Trans. Amer. Math. Soc., 312(2):641-662, 1989.
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[12] Rodrigo Bañuelos and Charles N. Moore. Laws of the iterated logarithm, sharp good-λ inequalities and L p-estimates for caloric and harmonic functions. Indiana Univ. Math. J., 38(2):315-344, 1989.
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[13] Rodrigo Bañuelos and Burgess Davis. Heat kernel, eigenfunctions, and conditioned Brownian motion in planar domains. J. Funct. Anal., 84(1):188-200, 1989.
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[14] Rodrigo Bañuelos and Charles N. Moore. Some results in analysis related to the law of the iterated logarithm. In Analysis at Urbana, Vol. I (Urbana, IL, 1986-1987), volume 137 of London Math. Soc. Lecture Note Ser., pages 47-80. Cambridge Univ. Press, Cambridge, 1989.
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[15] Rodrigo Bañuelos, Richard F. Bass, and Krzysztof Burdzy. A representation of local time for Lipschitz surfaces. Probab. Theory Related Fields, 84(4):521-547, 1990.
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[16] R. Bañuelos, I. Klemes, and C. Moore. The lower bound in the law of the iterated logarithm for harmonic functions. Duke Math. J., 60(3):689-715, 1990.
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[17] Rodrigo Bañuelos and Charles N. Moore. Mean growth of Bloch functions and Makarov's law of the iterated logarithm. Proc. Amer. Math. Soc., 112(3):851-854, 1991.
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[18] R. Bañuelos and Ch. N. Moore. Distribution function inequalities for the density of the area integral. Ann. Inst. Fourier (Grenoble), 41(1):137-171, 1991.
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[19] Rodrigo Bañuelos. Intrinsic ultracontractivity and eigenfunction estimates for Schrödinger operators. J. Funct. Anal., 100(1):181-206, 1991.
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[20] Rodrigo Bañuelos, Richard F. Bass, and Krzysztof Burdzy. Hölder domains and the boundary Harnack principle. Duke Math. J., 64(1):195-200, 1991.
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[21] Rodrigo Bañuelos. Lifetime and heat kernel estimates in nonsmooth domains. In Partial differential equations with minimal smoothness and applications (Chicago, IL, 1990), volume 42 of IMA Vol. Math. Appl., pages 37-48. Springer, New York, 1992.
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[22] Rodrigo Bañuelos and Burgess Davis. Sharp estimates for Dirichlet eigenfunctions in horn-shaped regions. Comm. Math. Phys., 150(1):209-215, 1992.
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[23] Rodrigo Bañuelos and Burgess Davis. A geometrical characterization of intrinsic ultracontractivity for planar domains with boundaries given by the graphs of functions. Indiana Univ. Math. J., 41(4):885-913, 1992.
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[24] Rodrigo Bañuelos and Tom Carroll. Conditioned Brownian motion and hyperbolic geodesics in simply connected domains. Michigan Math. J., 40(2):321-332, 1993.
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[25] Rodrigo Bañuelos and Jean Brossard. The area integral and its density for BMO and VMO functions. Ark. Mat., 31(2):175-196, 1993.
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[26] Rodrigo Bañuelos and Burgess Davis. Erratum: ``Sharp estimates for Dirichlet eigenfunctions in horn-shaped regions'' [Comm. Math. Phys. 150 (1992), no. 1, 209-215; MR1188505 (93i:35020)]. Comm. Math. Phys., 162(1):215-216, 1994.
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[27] Rodrigo Bañuelos and Tom Carroll. Brownian motion and the fundamental frequency of a drum. Duke Math. J., 75(3):575-602, 1994.
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[28] Rodrigo Bañuelos. Isoperimetric-type problems for brownian and conditioned brownian motion, preprint, ims workshop on brownian motion and analysis, chapel hill, nc, june 1994., 1994.
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[29] Rodrigo Bañuelos and Tom Carroll. An improvement of the Osserman constant for the bass note of a drum. In Stochastic analysis (Ithaca, NY, 1993), volume 57 of Proc. Sympos. Pure Math., pages 3-10. Amer. Math. Soc., Providence, RI, 1995.
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[30] Rodrigo Bañuelos and Elizabeth Housworth. An isoperimetric-type inequality for integrals of Green's functions. Michigan Math. J., 42(3):603-611, 1995.
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[31] Rodrigo Bañuelos and Antônio Sá Barreto. On the heat trace of Schrödinger operators. Comm. Partial Differential Equations, 20(11-12):2153-2164, 1995.
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[32] Rodrigo Bañuelos and Gang Wang. Sharp inequalities for martingales with applications to the Beurling-Ahlfors and Riesz transforms. Duke Math. J., 80(3):575-600, 1995.
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[33] R. Bañuelos. Sharp estimates for Dirichlet eigenfunctions in simply connected domains. J. Differential Equations, 125(1):282-298, 1996.
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[34] Rodrigo Bañuelos and Tom Carroll. Addendum to: ``Brownian motion and the fundamental frequency of a drum'' [Duke Math. J. 75 (1994), no. 3, 575-602; MR1291697 (96m:31003)]. Duke Math. J., 82(1):227, 1996.
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[35] R. Bañuelos and M. van den Berg. Dirichlet eigenfunctions for horn-shaped regions and Laplacians on cross sections. J. London Math. Soc. (2), 53(3):503-511, 1996.
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[36] Rodrigo Bañuelos and Gang Wang. Orthogonal martingales under differential subordination and applications to Riesz transforms. Illinois J. Math., 40(4):678-691, 1996.
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[37] Rodrigo Bañuelos and Arthur Lindeman, II. A martingale study of the Beurling-Ahlfors transform in R n. J. Funct. Anal., 145(1):224-265, 1997.
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[38] Rodrigo Bañuelos and Pawel Kröger. Isoperimetric-type bounds for solutions of the heat equation. Indiana Univ. Math. J., 46(1):83-91, 1997.
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[39] Rodrigo Bañuelos and Robert G. Smits. Brownian motion in cones. Probab. Theory Related Fields, 108(3):299-319, 1997.
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[40] Rodrigo Bañuelos, Tom Carroll, and Elizabeth Housworth. Inradius and integral means for Green's functions and conformal mappings. Proc. Amer. Math. Soc., 126(2):577-585, 1998.
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[41] Rodrigo Bañuelos and A.J. Lindeman. The martingale structure of the beurling-ahlfors transform, unpublished paper, the martingale structure of the beurling-ahlfors transform, unpublished paper,, 1998.
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[42] Rodrigo Bañuelos. Lifetime of conditioned brownian motion and related estimates for heat kernels, eigenfunctions and eigenvalues in euclidean domains. msri lectures, 1998.
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[43] Rodrigo Bañuelos and Michael M. H. Pang. Lower bound gradient estimates for solutions of Schrödinger equations and heat kernels. Comm. Partial Differential Equations, 24(3-4):499-543, 1999.
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[44] Rodrigo Bañuelos and Krzysztof Burdzy. On the ``hot spots'' conjecture of J. Rauch. J. Funct. Anal., 164(1):1-33, 1999.
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[45] Rodrigo Bañuelos and Charles N. Moore. Probabilistic behavior of harmonic functions, volume 175 of Progress in Mathematics. Birkhäuser Verlag, Basel, 1999.
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[46] Rodrigo Bañuelos and Gang Wang. Davis's inequality for orthogonal martingales under differential subordination. Michigan Math. J., 47(1):109-124, 2000.
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[47] Rodrigo Bañuelos and Pedro J. Méndez-Hernández. Sharp inequalities for heat kernels of Schrödinger operators and applications to spectral gaps. J. Funct. Anal., 176(2):368-399, 2000.
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[48] R. Bañuelos and T. Carroll. Extremal problems for conditioned Brownian motion and the hyperbolic metric. Ann. Inst. Fourier (Grenoble), 50(5):1507-1532, 2000.
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[49] Rodrigo Bañuelos. In search of hot spots. (article published in our department news letter, math purview, summer 2000, for our alumni and friends of the department.), 2000.
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[50] Rodrigo Bañuelos, Rafal Latala, and Pedro J. Méndez-Hernández. A Brascamp-Lieb-Luttinger-type inequality and applications to symmetric stable processes. Proc. Amer. Math. Soc., 129(10):2997-3008 (electronic), 2001.
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[51] Rodrigo Bañuelos, R. Dante DeBlassie, and Robert Smits. The first exit time of planar Brownian motion from the interior of a parabola. Ann. Probab., 29(2):882-901, 2001.
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[52] Rodrigo Bañuelos and Pawel Kröger. Gradient estimates for the ground state Schrödinger eigenfunction and applications. Comm. Math. Phys., 224(2):545-550, 2001.
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[53] Rodrigo Bañuelos, M. van den Berg, and Tom Carroll. Torsional rigidity and expected lifetime of Brownian motion. J. London Math. Soc. (2), 66(2):499-512, 2002.
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[54] R. Bañuelos and P. J. Méndez-Hernández. Space-time Brownian motion and the Beurling-Ahlfors transform. Indiana Univ. Math. J., 52(4):981-990, 2003.
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[55] Rodrigo Bañuelos and Michael Pang. An inequality for potentials and the ``hot-spots'' conjecture. Indiana Univ. Math. J., 53(1):35-47, 2004.
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[56] Rodrigo Bañuelos and Tadeusz Kulczycki. The Cauchy process and the Steklov problem. J. Funct. Anal., 211(2):355-423, 2004.
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[57] Rodrigo Bañuelos and Krzysztof Bogdan. Symmetric stable processes in cones. Potential Anal., 21(3):263-288, 2004.
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[58] Rodrigo Bañuelos, Michael Pang, and Mihai Pascu. Brownian motion with killing and reflection and the ``hot-spots'' problem. Probab. Theory Related Fields, 130(1):56-68, 2004.
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[59] Rodrigo Bañuelos and Tom Carroll. Sharp integrability for Brownian motion in parabola-shaped regions. J. Funct. Anal., 218(1):219-253, 2005.
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[60] Rodrigo Bañuelos and Krzysztof Bogdan. Symmetric stable processes in parabola-shaped regions. Proc. Amer. Math. Soc., 133(12):3581-3587 (electronic), 2005.
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[61] Tadeusz Kulczycki Rodrigo Bañuelos and Pedro J. Méndez-Hernández. On the shape of the ground state eigenfunction for stable processes. Potential Ananlysis (to appear), 2005.
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[62] Rodrigo Bañuelos and Michael Pang. Level sets neumann eigenfunction. Indiana Univ. Math. J. (to appear), 2005.
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[63] Rodrigo Bañuelos and Tadeusz Kulczycki. Eigenvalue gaps for the cauchy process and a poincaré inequality. J. Funct. Anal. (to appear), 2005.
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[64] Rodrigo Bañuelos and Pedro J. Méndez-Hernández. Hot-spots for conditioned brownian motion. Illinois J. Math. (to appear), 2005.
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[65] Rodrigo Bañuelos and Dante DeBlassie. The exit distribution for iterated brownian motion in cones. Stochastic processes and Their Applications, to appear, 2005.
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[66] Rodrigo Bañuelos and Michael Pang. Stability of multiplicity one for neuman Laplacians, preprint. 2005.
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[67] Rodrigo Bañuelos and Tadeusz Kulczycki. Spectral gaps for cauchy process on convex symmetric domains, (preprint). 2005.
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[68] Rodrigo Bañuelos and Prabhu Janakiraman. Lp-estimates for the Beurling-Ahlfors operator, (preprint). 2006.
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[69] Rodrigo Bañuelos. Lecture Notes in Analysis, 2006.
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[70] Rodrigo Bañuelos. Lecture Notes in Measure Theory and Probability, 2006.
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[71] Rodrigo Bañuelos. Isoperimetric inequalities in probability, geometry and pde (the Blackwell-Tapia prize conference lecture at IPAM, UCLA, Nov 6, 2004), 2006.
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[72] Rodrigo Bañuelos. Martingales and the Beurling-Ahlfors operator, an overview, 2006.
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[73] Rodrigo Bañuelos and Prabhu Janakiraman. Inequalities for martingales, singular integra and related topics, a bibliography, 2006.
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