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On some improved weighted weak type inequalities

Published 1 Feb 2024 in math.CA | (2402.00506v1)

Abstract: In this paper we obtain the sharp quantitative matrix weighted weak type bounds for the Christ--Goldberg maximal operator $M_{W,p}$ in the case $1<p<2$, improving a recent result by Cruz-Uribe and Sweeting. Also, in the scalar setting, we improve a weak type bound obtained in the aforementioned work for Calder\'on--Zygmund operators.

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