Hardy-Leray inequalities in variable Lebesgue spaces

David Cruz-Uribe, Durvudkhan Suragan

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
Article number127747
JournalJournal of Mathematical Analysis and Applications
Volume530
Issue number2
DOIs
Publication statusPublished - 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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