Revisiting mixed weak inequalities of Fefferman-Stein type for commutators of Calderón-Zygmund operators: an improvement

Fuente: arXiv
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Main Authors: Ayala, Rocío, Berra, Fabio, Pradolini, Gladis
Format: Preprint
Published: 2025
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author Ayala, Rocío
Berra, Fabio
Pradolini, Gladis
author_facet Ayala, Rocío
Berra, Fabio
Pradolini, Gladis
contents In this paper we establish mixed weak inequalities of Fefferman-Stein type for Calderón-Zygmund operators and their commutators, improving some previous results known in the literature. The main estimates also generalize the classical weighted weak Fefferman-Stein inequalities proved in [19] and [22]. In order to obtain the main results, our approach is to give a strong Fefferman-Stein type inequality for the operators involved with respect to an adequate measure.
format Preprint
id arxiv_https___arxiv_org_abs_2511_15488
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Revisiting mixed weak inequalities of Fefferman-Stein type for commutators of Calderón-Zygmund operators: an improvement
Ayala, Rocío
Berra, Fabio
Pradolini, Gladis
Classical Analysis and ODEs
In this paper we establish mixed weak inequalities of Fefferman-Stein type for Calderón-Zygmund operators and their commutators, improving some previous results known in the literature. The main estimates also generalize the classical weighted weak Fefferman-Stein inequalities proved in [19] and [22]. In order to obtain the main results, our approach is to give a strong Fefferman-Stein type inequality for the operators involved with respect to an adequate measure.
title Revisiting mixed weak inequalities of Fefferman-Stein type for commutators of Calderón-Zygmund operators: an improvement
topic Classical Analysis and ODEs
url https://arxiv.org/abs/2511.15488