Hardy-Leray inequalities in variable Lebesgue spaces

David Cruz-Uribe; Durvudkhan Suragan

doi:10.1016/j.jmaa.2023.127747

Hardy-Leray inequalities in variable Lebesgue spaces

David Cruz-Uribe, Durvudkhan Suragan

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

In this paper, we prove the Hardy-Leray inequality and related inequalities in variable Lebesgue spaces. Our proof is based on a version of the Stein-Weiss inequality in variable Lebesgue spaces derived from two weight inequalities due to Melchiori and Pradolini. We also discuss an application of our results to establish an existence result for the degenerate p(⋅)-Laplace operator.

Original language	English
Article number	127747
Journal	Journal of Mathematical Analysis and Applications
Volume	530
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2023.127747
Publication status	Published - Feb 15 2024

Keywords

Gagliardo-Nirenberg inequality
Hardy-Leray inequality
Hardy-Sobolev inequality
Rellich inequality
Stein-Weiss inequality
Variable Lebesgue spaces

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jmaa.2023.127747

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KW - Hardy-Leray inequality

KW - Hardy-Sobolev inequality

KW - Rellich inequality

KW - Stein-Weiss inequality

KW - Variable Lebesgue spaces

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Hardy-Leray inequalities in variable Lebesgue spaces

Abstract

Keywords

ASJC Scopus subject areas

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