Rodrigo Bañuelos

    Publications (October 2017)

    Link to Publications on MathScinet


    To Appear/In press:
    1. Bañuelos, Rodrigo,   Adam Osękowski,  Sharp weak type inequalities for fractional integrals,   Potential Anal
    2. Bañuelos, Rodrigo,  Adam Osękowski,  Sharp L^2 inequalities for square functions,  Tran AMS,
    3. Bañuelos, Rodrigo,  Adam Osękowski, A weighted maximal inequality for differentially subordinate martingales,  Proc AMS 
    4. Bañuelos, Rodrigo, David, Burgess,  Introduction to Memorial Issue for Donald Burkholder, the Annals of Probability  


    1. Bañuelos, Rodrigo,  Levy Processes, Non-Local Operators, and Spetral/Heat Asymptotics,  Notices of AMS, 
    2. Bañuelos, Rodrigo,  K. Bogdan, T. Luks,  Hardy-Stein identities and square functions for semigroups, J. London Math Soc


    1.  Acuña Valverde, Luis, Bañuelos, Rodrigo:  Heat content and small time asymptotics for  Schrödinger Operators on R^d.  Potential Analysis, February 2015, Vol 42, Issue 2, 457-482
    2.   Bañuelos, Rodrigo,  Dante DeBlassie,  On the First Eigenfunction of the Symmetric Stable Process in a Bounded Lipschitz Domain, Potential Analysis,  February 2015, Vol 42, Issue 2, 573-583. 
    3. Bañuelos, Rodrigo,  Adam Osękowski  Weighted norm inequalities for fractional maximal operators--a Bellman function approach, (Indiana University Mathematics JournalPDF File
    4. Bañuelos, Rodrigo,  Adam Osękowski,  Sharp Martingale Inequalities and Applications to Riesz Transforms on Manifolds, Lie Groups and Gauss Space,  J. Functional Analysis,  PDF File
    5. Bañuelos, Rodrigo,  Adam Osękowski,   On Astala's Theorem for Martingales and Fourier Multipliers,  Advances in mathematics, PDF File
      1. Bañuelos, Rodrigo, Mijena, Jebessa B.; Nane, Erkan; Two-term trace estimates for relativistic stable processes. J. Math. Anal. Appl. 410 (2014), no. 2, 837–846.
      2. Bañuelos, Rodrigo, Osękowski, Adam,   On the operator λand the Beurling-Ahlfors transform on radial functions. Michigan Math. J. 63 (2014), 213-221.
      3. Applebaum, David,  Bañuelos, Rodrigo,  Martingale transforms and Lévy processes on Lie groups, Indiana University Mathematics Journal,  63 (2014), 1109-1138.
      4.  Bañuelos, Rodrigo, Osękowski, Adam,  On the Bellman Function of Nazarov, Treil and Volberg, Mathematische Zeitschrift, 278 (2014),  385-399.
      5. Applebaum, David,  Bañuelos, Rodrigo, Probabilistic Approach to Fractional Integrals and the Hardy-Littlewood-Sobolev Inequality, Analytic methods in Interdisciplinary Applications, ISAAC 2013 International Congress, Springer 2014, pp 17-40, V. Mityushev and M. Rushnasky, Editors.
      6. Bañuelos, Rodrigo,   Adam Osękowski,  Sharp maximal Lp-estimates for martingales,  Illinois J. Math.  PDF File
        1. Bañuelos, Rodrigo, Osękowski, Adam:  Burkholder inequalities for submartingales, Bessel processes and conformal martingales. American Journal of Mathematics, 135 (2013), 1675-1698.
        2. Bañuelos, Rodrigo,  Baudoin, Fabrice Martingale transforms and their projection operators on manifolds. Potential Anal. 38 (2013), no. 4, 1071–1089.
        3. Bañuelos, Rodrigo,  Yolcu, Selma Yıldırım,  Heat trace of non-local operators. J. Lond. Math. Soc. (2) 87 (2013), no. 1, 304–318.
        4. Bañuelos, Rodrigo,  Osękowski, Adam, Sharp inequalities for the Beurling-Ahlfors transform on radial functions. Duke Math. J. 162 (2013), no. 2, 417–434.
        1. Bañuelos, Rodrigo, Osękowski, Adam:  Martingales and Sharp Bounds for Fourier multipliers.  Annales Academiae Scientiarum Fennicae Mathematica, Vol 37 (2012), 251--236. 
        2. Bañuelos, Rodrigo: The foundational inequalities of D. L. Burkholder and some of their ramifications. Illinois J. Math. 54, no. 3,  789–868 (2012)


        1. Bañuelos, Rodrigo Davis, Burgess: Donald Burkholder's work in martingales and analysis. In "Selected Works of Donald L. Burkholder," B. Davis, R. Song, Editors. Springer 2011.
        2. 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.
        3. Bañuelos, Rodrigo, Carroll, Toml: The maximal expected lifetime of Brownian motion. Mathematical Proceedings of the Royal Irish Academy, 111A (1), 1-11 (2011) 


        1. 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.
        2. Bañuelos, Rodrigo, Carroll, Tom: Stretching convex domains and the hyperbolic metric. Q. J. Math. 61 (2010), no. 3, 265–273.
        3. Bañuelos, Rodrigo, Méndez-Hernández, Pedro, Pedro: Symmetrization of Lévy processes and applications. J. Funct. Anal. 258 (2010), no. 12, 4026–4051. 


        1. Bañuelos, Rodrigo and Janakiraman, Prabhu: On the weak-type constant of the Beurling-Ahlfors transform. Michigan Math. J. 58 (2009),no. 2, 459–477.
        2. 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.
        3. Bañuelos, Rodrigo, Four unknown constants: 2009 Oberwolfach workshop on Low Eigenvalues of Laplace and Schrödinger Operators, Oberwolfach reports No. 06, 2009,     PDF File

        PREPRINTSDownload from ArXiv

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