Generalized Ponce's inequality

TL;DR

This paper generalizes Ponce's inequality, a fundamental mathematical inequality, expanding its applicability to various fields such as Sobolev space characterization and nonlocal modeling.

Contribution

It introduces a generalized form of Ponce's inequality, broadening its scope and potential applications in analysis and mathematical modeling.

Findings

Extended Ponce's inequality applicable to broader contexts

Implications for Sobolev space characterization

Relevance to nonlocal modeling

Abstract

This note provides the generalization of a remarkable inequality by A. C. Ponce whose consequences are essential in several fields, as Characterization of Sobolev Spaces or Nonlocal Modelization.