3 papers
math.CA2026
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…
math.FA2025
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…
math.CA2024
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…