Trudinger-type inequalities for variable Riesz potentials of functions in Musielak-Orlicz-Morrey spaces over metric measure spaces

被引：1

作者：

Ohno, Takao ^{[1
,3
]}

Shimomura, Tetsu ^{[2
]}

机构：

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

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

[3] Oita Univ, Fac Educ, Oita 8701192, Japan

来源：

MATHEMATISCHE NACHRICHTEN | 2024年 / 297卷 / 04期

关键词：

double-phase functional; Hajlasz spaces; maximal functions; metric measure space; Musielak-Orlicz-Morrey spaces; Riesz potentials; Trudinger's inequality; SOBOLEV SPACES; MAXIMAL OPERATOR; BOUNDEDNESS; EMBEDDINGS;

D O I：

10.1002/mana.202300265

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study Trudinger-type inequalities for variable Riesz potentials J(alpha center dot,tau)f of functions in Musielak-Orlicz-Morrey spaces over bounded metric measure spaces. As a good example, we obtain Trudinger-type inequalities for double-phase functionals Phi(x,t)=t(p(x))+a(x)t(q(x)). As an application, we introduce Musielak-Orlicz-Morrey-Haj & lstrok;asz-Sobolev spaces and give Trudinger-type inequalities for Sobolev functions.

引用

页码：1248 / 1274

页数：27

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