New weighted Riesz-type pointwise inequalities and applications to generalized Sobolev estimates
Functional Analysis
2026-01-16 v2
Abstract
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.
Cite
@article{arxiv.2508.12771,
title = {New weighted Riesz-type pointwise inequalities and applications to generalized Sobolev estimates},
author = {Diego Chamorro and Anca-Nicoleta Marcoci and Liviu-Gabriel Marcoci},
journal= {arXiv preprint arXiv:2508.12771},
year = {2026}
}