4 papers
Weighted Extensions of Stein's Theorem for Linear and Multilinear Operators
María Jesús Carro, Bae Jun Park
We study weighted estimates for linear and multilinear integral operators whose kernels satisfy only size conditions. Extending a theorem of E. Stein and its refinement by Soria an…
New results on Fourier multipliers on : a perspective through unimodular symbols
María Jesús Carro, Alberto Salguero-Alarcón
The paper focuses on the behaviour of unimodular Fourier multipliers with exponential growth in the context of weighted -spaces. Our main result shows that much of the general…
Extrapolation of compactness on weighted mixed Lebesgue spaces
María J. Carro, Carlos Pérez, Rodolfo H. Torres
A version of the Fréchet-Kolmogorov theorem for the compactness of operators in weighted mixed Lebesgue spaces is proved and a corresponding compact extrapolation theory a la Rubio…
Restricted weighted weak boundedness for product type operators
María Jesús Carro, Sheldy Ombrosi
Given a bilinear (or sub-bilinear) operator , we prove restricted weighted weak type inequalities of the form $$ ||B(f_1, f_2)||_{L^{p, \infty}(w_1^{p/p_1}w_2^{p/p_2})}\lesssim…