Department of Mathematics

Rodrigo Bañuelos

Recent Papers of R. Bañuelos
  MathScinet publication list

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RECENT PUBLICATIONS
  1. Bañuelos, Rodrigo and Carroll, Tom: The maximal expected lifetime of Brownian motion. Mathematical Proceedings of the Royal Irish Academy, 111A (1), 1-11 (2011)  
  2. Bañuelos, Rodrigo, Kulczycki, Tadeusz, Polterovich, Iosif and Siudeja, Bartłomiej: Eigenvalue inequalities for mixed Steklov problems. Operator theory and its applications, 19–34, Amer. Math. Soc. Transl. Ser. 2, 231, Amer. Math. Soc., Providence, RI, 2010.
  3. Bañuelos, Rodrigo and Carroll, Tom: Stretching convex domains and the hyperbolic metric. Q. J. Math. 61 (2010), no. 3, 265–273.
  4. Bañuelos, Rodrigo and Méndez-Hernández, Pedro: Symmetrization of Lévy processes and applications. J. Funct. Anal. 258 (2010), no. 12, 4026–4051.
  5. Bañuelos, Rodrigo and Janakiraman, Prabhu: On the weak-type constant of the Beurling-Ahlfors transform. Michigan Math. J. 58 (2009),no. 2, 459–477.
  6. Bañuelos, Rodrigo, Kulczycki, Tadeusz and Siudeja, Bartłomiej: On the trace of symmetric stable processes on Lipschitz domains. J. Funct. Anal. 257 (2009), no. 10, 3329–3352.
  7. Bañuelos, Rodrigo, Kulczycki, Tadeusz and Siudeja, Bartłomiej: Neumann Bessel heat kernel monotonicity. Potential Anal. 30 (2009), no. 1, 65–83.
  8. Bañuelos, Rodrigo and Pang, Michael: Stability and approximations of eigenvalues and eigenfunctions for the Neumann Laplacian. I. Electron. J. Differential Equations 2008, No. 145, 13 pp.
  9. Bañuelos, Rodrigo and Kulczycki, Tadeusz: Trace estimates for stable processes. Probab. Theory Related Fields 142 (2008), no. 3-4, 313–338.
  10. Bañuelos, Rodrigo and Janakiraman, Prabhu: $L^p$ -bounds for the Beurling-Ahlfors transform. Trans. Amer. Math. Soc. 360 (2008), no. 7, 3603–3612.
  11. Bañuelos, Rodrigo and Bogdan, Krzysztof: Lévy processes and Fourier multipliers. J. Funct. Anal. 250 (2007), no. 1, 197–213.

RECENT PREPRINTS
  1. (with K. Bogdan and A. Bielaszewski) Fourier multipliers for non-symmetric Lévy processes. To appear in Marcinkiewicz Centenary Volume Banach Center Publications, Volume 95. Institute of Mathematics Polish Academy of Sciences Warszawa 2011.  PDF File
  2. Four unknown constants: 2009 Oberwolfach workshop on Low Eigenvalues of Laplace and Schrödinger Operators, Oberwolfach reports No. 06, 2009PDF File
  3. (with B. Davis) Donald Burkholder's work in martingales and analysis. In "Selected Works of Donald L. Burkholder," B. Davis, R. Song, Editors. Springer 2011. PDF File
  4. The foundational inequalities of D.L. Burkholder and some of their ramifications, To appear, Illinois Journal of Mathematics, Volume in honor of D.L. Burkholder.  PDF File
  5. (With Adam Osękowski) Martingales and Sharp Bounds for Fourier multipliers. To appear in Annales Academiae Scientiarum Fennicae Mathematica. PDF File
  6. (With Adam Osękowski) Burkholder inequalities for submartingales, Bessel processes and conformal martingales. To appear in American Journal of Mathematics.  PDF File
  7. (With Farbice Baudoin) Martingale transforms and their projection operators on manifolds. (submitted)  PDF File
  8. (With Selma Yildirim Yolcu) Heat Trace of non-local operators. (submitted)  PDF File