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arXiv · 2402.00506

On some improved weighted weak type inequalities

Andrei K. Lerner·Kangwei Li·Sheldy Ombrosi·Israel P. Rivera-Ríos
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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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Andrei K. Lerner, Kangwei Li, Sheldy Ombrosi, Israel P. Rivera-Ríos. 2024-02-01. On some improved weighted weak type inequalities. https://arxiv.org/abs/2402.00506

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