English

A new pointwise inequality for rough operators and applications

Functional Analysis 2026-01-14 v3

Abstract

We study in this article a new pointwise estimate for ''rough'' singular integral operators. From this pointwise estimate we will derive Sobolev type inequalities in a variety of functional spaces.

Keywords

Cite

@article{arxiv.2409.16691,
  title  = {A new pointwise inequality for rough operators and applications},
  author = {Diego Chamorro and Anca-Nicoleta Marcoci and Liviu-Gabriel Marcoci},
  journal= {arXiv preprint arXiv:2409.16691},
  year   = {2026}
}
R2 v1 2026-06-28T18:56:10.772Z