New weighted Riesz-type pointwise inequalities and applications to generalized Sobolev estimates

Fuente: arXiv
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Autores principales: Chamorro, Diego, Marcoci, Anca-Nicoleta, Marcoci, Liviu-Gabriel
Formato: Preprint
Publicado: 2025
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author Chamorro, Diego
Marcoci, Anca-Nicoleta
Marcoci, Liviu-Gabriel
author_facet Chamorro, Diego
Marcoci, Anca-Nicoleta
Marcoci, Liviu-Gabriel
contents In this article we study some new pointwise inequalities between rough singular integral operators, weighted maximal functions of the gradient and weighted Morrey spaces. These pointwise estimates will naturally lead us to a new class of weighted Sobolev-type inequalities.
format Preprint
id arxiv_https___arxiv_org_abs_2508_12771
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle New weighted Riesz-type pointwise inequalities and applications to generalized Sobolev estimates
Chamorro, Diego
Marcoci, Anca-Nicoleta
Marcoci, Liviu-Gabriel
Functional Analysis
In this article we study some new pointwise inequalities between rough singular integral operators, weighted maximal functions of the gradient and weighted Morrey spaces. These pointwise estimates will naturally lead us to a new class of weighted Sobolev-type inequalities.
title New weighted Riesz-type pointwise inequalities and applications to generalized Sobolev estimates
topic Functional Analysis
url https://arxiv.org/abs/2508.12771