Matrix weighted estimates on spaces of homogeneous type

Fuente: arXiv
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Main Authors: Claro, Guido, Muller, Pamela, Nowak, Luis, Perini, Alejandra, Rivera-Ríos, Israel P.
Format: Preprint
Published: 2025
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author Claro, Guido
Muller, Pamela
Nowak, Luis
Perini, Alejandra
Rivera-Ríos, Israel P.
author_facet Claro, Guido
Muller, Pamela
Nowak, Luis
Perini, Alejandra
Rivera-Ríos, Israel P.
contents In this paper matrix quantitative weighted estimates on spaces of homogeneous type, such as endpoint estimates, strong type estimates are provided. To that end we extend some earlier results on convex body domination due to Nazarov, Petermichl, Treil and Volberg to this setting. We also provide a $T(1)$ alike convex body domination result analogous to the one provided by Lerner and Ombrosi, and an application to vector valued extensions of Petermichl operators.
format Preprint
id arxiv_https___arxiv_org_abs_2511_07839
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Matrix weighted estimates on spaces of homogeneous type
Claro, Guido
Muller, Pamela
Nowak, Luis
Perini, Alejandra
Rivera-Ríos, Israel P.
Functional Analysis
Classical Analysis and ODEs
In this paper matrix quantitative weighted estimates on spaces of homogeneous type, such as endpoint estimates, strong type estimates are provided. To that end we extend some earlier results on convex body domination due to Nazarov, Petermichl, Treil and Volberg to this setting. We also provide a $T(1)$ alike convex body domination result analogous to the one provided by Lerner and Ombrosi, and an application to vector valued extensions of Petermichl operators.
title Matrix weighted estimates on spaces of homogeneous type
topic Functional Analysis
Classical Analysis and ODEs
url https://arxiv.org/abs/2511.07839