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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…
math.CA2024
Endpoint multilinear restricted weak type extrapolation theorem
Kangwei Li, Teresa Luque, Sheldy Ombrosi
In this paper we present a generalization in the context of multilinear Muckenhoupt classes of the endpoint extrapolation theorem on restricted weights due to Carro, Grafakos and S…
math.CA2024
On some improved weighted weak type inequalities
Andrei K. Lerner, Kangwei Li, Sheldy Ombrosi +1
In this paper we obtain the sharp quantitative matrix weighted weak type bounds for the Christ--Goldberg maximal operator in the case , improving a recent result b…