Now showing items 1-4 of 4

    • $A_1$ theory of weights for rough homogeneous singular integrals and commutators 

      Pérez C.; Rivera-Ríos I.P.; Roncal L. (Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V, 2019)
      Quantitative $A_1-A_\infty$ estimates for rough homogeneous singular integrals $T_{\Omega}$ and commutators of $\BMO$ symbols and $T_{\Omega}$ are obtained. In particular the following estimates are proved: \[ \|T_\Omega ...
    • Bilinear Calderón--Zygmund theory on product spaces 

      Li K.; Martikainen H.; Vuorinen E. (Journal des Math\'ematiques Pures et Appliqu\'ees, 2019-10)
      We develop a wide general theory of bilinear bi-parameter singular integrals $T$. This includes general Calder\'on--Zygmund type principles in the bilinear bi-parameter setting: easier bounds, like estimates in the Banach ...
    • New bounds for bilinear Calderón-Zygmund operators and applications 

      Damián W.; Hormozi M.; Li K. (Revista Matemática Iberoamericana, 2016-11-25)
      In this work we extend Lacey’s domination theorem to prove the pointwise control of bilinear Calderón–Zygmund operators with Dini–continuous kernel by sparse operators. The precise bounds are carefully tracked following ...
    • Vector-valued operators, optimal weighted estimates and the $C_p$ condition 

      Cejas M.E.; Li K.; Pérez C.; Rivera-Ríos I.P. (Science China Mathematics, 2018-09)
      In this paper some new results concerning the $C_p$ classes introduced by Muckenhoupt and later extended by Sawyer, are provided. In particular we extend the result to the full range expected $p>0$, to the weak norm, to ...