TRUDINGER-TYPE INEQUALITIES IN MUSIELAK-ORLICZ 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：
HOUSTON JOURNAL OF MATHEMATICS | 2022年 / 48卷 / 03期
关键词：
Riesz potentials; Musielak-Orlicz spaces; Trudinger's inequality; metric measure space; lower Ahlfors regular; double phase functional; SOBOLEV SPACES; RIESZ-POTENTIALS; FUNCTIONALS; EMBEDDINGS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We are concerned with Trudinger-type inequalities for variable Riesz potentials J(alpha(center dot),tau) f of functions in Musielak-Orlicz spaces L-Phi (X) over bounded metric measure spaces equipped with lower Ahlfors Q(x)-regular measures. As an application and example we obtain Trudinger's inequality for double phase functionals with variable exponents.
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页码：479 / 497
页数：19
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