Department of Mathematics

Rodrigo Bañuelos

Recent Papers of R. Bañuelos

RECENT PAPERS


MOST RECENT PUBLICATIONS
[1] R. Bañuelos, T. Kulczycki, and B. Siudeja. Neumann Bessel heat kernel monotonicity. Potential Anal., 30(1):65-83, 2009. 
[2] Rodrigo Bañuelos and Michael M. H. Pang. Stability and approximations of eigenvalues and eigenfunctions for the Neumann Laplacian. I. Electron. J. Differential Equations, pages No. 145, 13, 2008. 
[3] Rodrigo Bañuelos and Tadeusz Kulczycki. Trace estimates for stable processes. Probab. Theory Related Fields, 142(3-4):313-338, 2008. 
[4] Rodrigo Bañuelos and Prabhu Janakiraman. Lp-bounds for the Beurling-Ahlfors transform. Trans. Amer. Math. Soc., 360(7):3603-3612, 2008. 
[5] Rodrigo Bañuelos and Krzysztof Bogdan. Lévy processes and Fourier multipliers. J. Funct. Anal., 250(1):197-213, 2007. 
[6] Rodrigo Bañuelos and Tadeusz Kulczycki. Spectral gap for the Cauchy process on convex, symmetric domains. Comm. Partial Differential Equations, 31(10-12):1841-1878, 2006. 
[7] Rodrigo Bañuelos and Pedro J. Méndez-Hernández. Hot-spots for conditioned Brownian motion. Illinois J. Math., 50(1-4):1-32 (electronic), 2006. 
[8] Rodrigo Bañuelos and Michael M. H. Pang. Level sets of Neumann eigenfunctions. Indiana Univ. Math. J., 55(3):923-939, 2006. 
[9] Rodrigo Bañuelos, Tadeusz Kulczycki, and Pedro J. Méndez-Hernández. On the shape of the ground state eigenfunction for stable processes. Potential Anal., 24(3):205-221, 2006. 
[10] Rodrigo Bañuelos and Tadeusz Kulczycki. Eigenvalue gaps for the Cauchy process and a Poincaré inequality. J. Funct. Anal., 234(1):199-225, 2006.


MOST RECENT PREPRINTS
  • (with P. Janakiraman) On the weak-type constant of the Beurling-Ahlfors transform, (Michigan Math J.--to appear)
  • (with T. Carroll) Stretching convex domains and the hyperbolic metric, (Quarterly Journal of Mathematics--to appear)
  • (with T. Kulczycki and B. Siudeja) On the Trace of symmetric stable processes on Lipschitz domains, (Journal Func. Anal.--to appear)
  • (with P.J. Méndez-Hénandez) Symmetrization of Lévy processes and applications, (submitted)