A new pointwise inequality for rough operators and applications
Diego Chamorro (LaMME), Anca-Nicoleta Marcoci (UTCB), Liviu-Gabriel Marcoci (UTCB)
TL;DR
This paper introduces a novel pointwise estimate for rough singular integral operators and demonstrates its applications by deriving Sobolev inequalities across various functional spaces.
Contribution
The paper presents a new pointwise inequality for rough operators, enabling the derivation of Sobolev inequalities in different functional spaces.
Findings
New pointwise estimate for rough singular integrals
Derivation of Sobolev inequalities using the estimate
Applications across multiple functional spaces
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.
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