On Trudinger-type inequalities in Musielak-Orlicz-Morrey spaces of an integral form over metric measure spaces

被引：0

作者：

Ohno, Takao ^{[1
]}

Shimomura, Tetsu ^{[2
]}

机构：

[1] Oita Univ, Fac Educ, Dannoharu, Oita 8701192, Japan

[2] Hiroshima Univ, Grad Sch Humanities & Social Sci, Dept Math, Higashihiroshima 7398524, Japan

来源：

ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 2024年 / 43卷 / 3-4期

关键词：

Trudinger's inequality; Riesz potentials; Musielak-Orlicz-Morrey spaces; metric measure space; double-phase functions; Poincare inequality; RIESZ-POTENTIALS; SOBOLEVS INEQUALITY; EMBEDDINGS; BOUNDEDNESS;

D O I：

10.4171/ZAA/1766

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish Trudinger-type inequalities for variable Riesz potentials J(alpha(center dot),tau) f of functions f in Musielak-Orlicz-Morrey spaces of an integral form over metric measure spaces X . As an application and example, we give Trudinger's inequality for double-phase functionals with variable exponents. Finally, we prove the result for Sobolev functions satisfying a Poincare inequality in X .

引用

页码：377 / 400

页数：24

共 43 条

[1] Gradient estimates for Orlicz double phase problems with variable exponents [J].