A trace inequality of Riesz potentials in variable exponent Orlicz spaces

被引：3

作者：

Mizuta, Yoshihiro ^{[2
]}

Shimomura, Tetsu ^{[1
]}

机构：

[1] Hiroshima Univ, Dept Math, Grad Sch Educ, Higashihiroshima 7398524, Japan

[2] Hiroshima Inst Technol, Dept Mech Syst Engn, Saeki Ku, Hiroshima 7315193, Japan

来源：

MATHEMATISCHE NACHRICHTEN | 2012年 / 285卷 / 11-12期

关键词：

Variable exponent; trace inequality; Lebesgue space; Riesz potential; Sobolev's inequality; Sobolev embeddings; Sobolev space; msc (2010) 46E35; 46E30; 31B15; GENERALIZED LEBESGUE; MAXIMAL FUNCTIONS; SOBOLEV SPACES; INTEGRABILITY; SMOOTHNESS; EMBEDDINGS;

D O I：

10.1002/mana.201000115

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Our aim in this paper is to deal with traces on the hyperplane for Riesz potentials of order a for functions f satisfying the Orlicz type condition integral vertical bar f(y)vertical bar(p(y))(log(e+vertical bar f(y)vertical bar))(q(y))dy<infinity, where p(center dot) and q(center dot) are variable exponents satisfying the log-Holder and the log log-Holder conditions, respectively.

引用

页码：1466 / 1485

页数：20

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