Department of Mathematics

Rodrigo Bañuelos

Preprints
  • Weighted square function estimates,
    R. Ba\~nuelos, A. Os\polhk ekowski, J. Bull. des Sciences Mathematiques (to appear) , https://arxiv.org/abs/1711.08754

  • Burkholder's Function and weighted $L^2$ bounds for stochastic integrals.
    R. Ba\~nuelos, M. Brzozowski, A. Os\polhk ekowski,  Proc. AMS (to appear) https://arxiv.org/abs/2003.03598

  • Weighted Multipler theorems via martinagle transforms,
    R. Ba\~nuelos, F. Baudoin, L. Chen and Y. Sire, https://arxiv.org/abs/2003.02077

  • Bounds for exit times of Brownian motion and the first Dirichlet eigenvalue of the Laplacian,
    R. Ba\~nuelos, F. Mariano and J. Wang, https://arxiv.org/abs/2003.06867

  • A dual approach to Burkholder's L^p estiamtes, R. Ba\~nuelos, T. Ga\lazka, A. Osekowski, https://arxiv.org/abs/2006.08082


    • 2019
  • Hardy-Stein identity for non-symmetric Lévy processes and Fourier multipliers
    Ba\~nuelos, Rodrigo and Kim, Daesung, J. Math. Anal. Appl.:p. 123383, 20. 2019

    • On the $\ell^p$-norm of the discrete Hilbert transform
    Ba\~nuelos, Rodrigo and Kwa\'snicki, Mateusz , Duke Math. J. , 168(3): p. 471--504.  2019
    2018
  • Stability in Burkholder's differentially subordinate martingales inequalities and applications to Fourier multipliers
    Ba\~nuelos, Rodrigo and Os\polhk ekowski, Adam, J. Math. Pures Appl. (9): p. 1--44. 2018

  • A weighted maximal inequality for differentially subordinate martingales,
    Ba\~nuelos, Rodrigo and Os\polhk ekowski, Adam, Proc. Amer. Math. Soc., 146(5): p. 2263--2275. 2018

  • Weighted $L^2$ inequalities for square functions
    Ba\~nuelos, Rodrigo and Os\cekowski, Adam, Trans. Amer. Math. Soc., 370(4): p. 2391--2422. 2018
    • 2017
  • Sharp weak type inequalities for fractional integral operators
    Ba\~nuelos, Rodrigo and Os\cekowski, Adam, Potential Anal., 47(1): p. 103--121. 2017 

  • Introduction to memorial issue for Donald Burkholder (1927--2013)
    Ba\~nuelos, Rodrigo and Davis, Burgess, Ann. Probab., 45(1): p. 1--3. 2017
    • 2016
  • Hardy-Stein identities and square functions for semigroups
    Ba\~nuelos, Rodrigo and Bogdan, Krzysztof and Luks, Tomasz, J. Lond. Math. Soc. (2), 94(2): p. 462--478. 2016
    • 2015
  • On Astala's theorem for martingales and Fourier multipliers
    Ba\~nuelos, Rodrigo and Os\cekowski, Adam, Adam, Adv. Math., 283: p. 1652--1713. 2015
    p. 275--302. 2015 

  • Sharp martingale inequalities and applications to Riesz transforms on manifolds, Lie groups and Gauss space
    Ba\~nuelos, Rodrigo and Os\cekowski, Funct. Anal., 269(6):1652--1713, 2015

  • Weighted norm inequalities for fractional maximal operators: a Bellman function approach
    Ba\~nuelos, Rodrigo and Os\cekowski, Adam, Indiana Univ. Math. J., 64(3): p. 957--972. 2015

  • Probabilistic approach to fractional integrals and the Hardy-Littlewood-Sobolev inequality
    Applebaum, David and Ba\~nuelos, Rodrigo Analytic methods in interdisciplinary applications Springer, Proc. Math. Stat., pages 17--40. Cham. p. 17--40. 2015 

  • On the first eigenfunction of the symmetric stable process in a bounded Lipschitz domain
    Ba\~nuelos, Rodrigo and DeBlassie, Dante, Potential Anal., 42(2): p. 573--583. 2015 

  • Heat content and small time asymptotics for Schr\"odinger operators on $\Bbb R^d$
    Valverde, Luis Acu\~na and Ba\~nuelos, Rodrigo, Potential Anal., 42(2): p. 457--482. 2015


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