Rodrigo Bañuelos

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RECENT PUBLICATIONS

1. Bañuelos, Rodrigo: The foundational inequalities of D.L. Burkholder and some of their ramifications, Illinois Journal of Mathematics, Volume in honor of D.L. Burkholder, (2012), pp 789-868. 
2. Bañuelos, Rodrigo  and Osękowski, Adam:  Martingales and Sharp Bounds for Fourier multipliers.  Annales Academiae Scientiarum Fennicae Mathematica, Vol 37 (2012), 251--236.
3. Bañuelos, Rodrigo,  Bogdan, Krzysztof,  and Bielaszewski, Adam: Fourier multipliers for non-symmetric Lévy processes. Marcinkiewicz Centenary Volume Banach Center Publications, Volume 95. Institute of Mathematics Polish Academy of Sciences Warszawa 2011, pp. 9-25.
4. Bañuelos and B. Davis: Donald Burkholder's work in martingales and analysis. In "Selected Works of Donald L. Burkholder," B. Davis, R. Song, Editors. Springer 2011. 
5. Bañuelos, Rodrigo, and Carroll, Toml: The maximal expected lifetime of Brownian motion. Mathematical Proceedings of the Royal Irish Academy, 111A (1), 1-11 (2011)  
6. Bañuelos, Rodrigo, Tadeuswz Kulczycki, Iosif Polterovich, and Bartłomiej Siudeja: 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.
7. Bañuelos, Rodrigo and Carroll, Tom: Stretching convex domains and the hyperbolic metric. Q. J. Math. 61 (2010), no. 3, 265–273.
8. Bañuelos, Rodrigo and Méndez-Hernández, Pedro: Symmetrization of Lévy processes and applications. J. Funct. Anal. 258 (2010), no. 12, 4026–4051.
9. Bañuelos, Rodrigo and Janakiraman, Prabhu: On the weak-type constant of the Beurling-Ahlfors transform. Michigan Math. J. 58 (2009),no. 2, 459–477.
10. 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.

RECENT PREPRINTS

1. Four unknown constants: 2009 Oberwolfach workshop on Low Eigenvalues of Laplace and Schrödinger Operators, Oberwolfach reports No. 06, 2009 PDF File

2. (With Adam Osękowski) Burkholder inequalities for submartingales, Bessel processes and conformal martingales. To appear in American Journal of Mathematics.  PDF File

3. (With Selma Yildirim Yolcu) Heat Trace of non-local operators. To appear, Journal London Mathematical Society.  PDF File

4. (with Adam Osękowski) Sharp inequalities for the Beurling-Ahlfors transform on radial functions.  To appear, Duke Math. J.  PDF File 

5. (With Farbice Baudoin) Martingale transforms and their projection operators on manifolds. (In revision for Potential Analysis  PDF File

6. (with David Applebaum) Martingale transforms and Lévy processes on Lie groups, PDF File

7. (With Farbice Baudoin) Trace asymptotics for subordinate semigroups on manifolds,  PDF File
   

8. (With Jebessa Mijena and Erkan Nane) Two-term trace estiamtes for relativistic stable processes,  PDF File