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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.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…