Hardy-Leray inequalities in variable Lebesgue spaces
Cruz-Uribe D. Suragan D.
15 February 2024Academic Press Inc.
Journal of Mathematical Analysis and Applications
2024#530Issue 2
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.
Gagliardo-Nirenberg inequality , Hardy-Leray inequality , Hardy-Sobolev inequality , Rellich inequality , Stein-Weiss inequality , Variable Lebesgue spaces
Text of the article Перейти на текст статьи
Department of Mathematics, University of Alabama, Tuscaloosa, 35487, AL, United States
Department of Mathematics, Nazarbayev University, 53 Kabanbay Batyr Ave, Astana, 010000, Kazakhstan
Department of Mathematics
Department of Mathematics
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026