Now showing items 39-43 of 43

    • Vector-valued extensions for fractional integrals of Laguerre expansions 

      Ciaurri Ó.; Roncal L. (Studia Math., 2018)
      We prove some vector-valued inequalities for fractional integrals defined for several orthonormal systems of Laguerre functions. On the one hand, we obtain weighted $L^p-L^q$ vector-valued extensions, in a multidimensional ...
    • 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 ...
    • Weak and strong $A_p$-$A_\infty$ estimates for square functions and related operators 

      Hytönen T.; Li K. (Proceedings of the American Mathematical Society, 2017-07)
      We prove sharp weak and strong type weighted estimates for a class of dyadic operators that includes majorants of both standard singular integrals and square functions. Our main new result is the optimal bound $[w]_{A_p} ...
    • Weighted mixed weak-type inequalities for multilinear operators 

      Li K.; Ombrosi S.; Picardi B. (Studia Mathematica, 2017)
      In this paper we present a theorem that generalizes Sawyer's classic result about mixed weighted inequalities to the multilinear context. Let $\vec{w}=(w_1,...,w_m)$ and $\nu = w_1^\frac{1}{m}...w_m^\frac{1}{m}$, the main ...
    • Weighted norm inequalities for rough singular integral operators 

      Li K.; Pérez C.; Rivera-Ríos I.; Roncal L. (Journal of Geometric Analysis, 2018-08-17)
      In this paper we provide weighted estimates for rough operators, including rough homogeneous singular integrals $T_\Omega$ with $\Omega\in L^\infty(\mathbb{S}^{n-1})$ and the Bochner--Riesz multiplier at the critical index ...