Now showing items 1-2 of 2

    • Borderline Weighted Estimates for Commutators of Singular Integrals 

      Pérez C.; Rivera-Ríos I.P. (Israel Journal of Mathematics, 2016-07-01)
      In this paper we establish the following estimate \[ w\left(\left\{ x\in\mathbb{R}^{n}\,:\,\left|[b,T]f(x)\right| > \lambda\right\} \right)\leq \frac{c_{T}}{\varepsilon^{2}}\int_{\mathbb{R}^{n}}\Phi\left(\|b\|_{BMO}\f ...
    • 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 ...