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.
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页码：1248 / 1274
页数：27
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