Matrix weighted estimates on spaces of homogeneous type
Functional Analysis
2025-11-12 v1 Classical Analysis and ODEs
Abstract
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 alike convex body domination result analogous to the one provided by Lerner and Ombrosi, and an application to vector valued extensions of Petermichl operators.
Keywords
Cite
@article{arxiv.2511.07839,
title = {Matrix weighted estimates on spaces of homogeneous type},
author = {Guido Claro and Pamela Muller and Luis Nowak and Alejandra Perini and Israel P. Rivera-Ríos},
journal= {arXiv preprint arXiv:2511.07839},
year = {2025}
}