Sobolev inequalities for Musielak-Orlicz spaces

被引：10
|
作者：
Mizuta, Yoshihiro [1 ]
Ohno, Takao [2 ]
Shimomura, Tetsu [3 ]
机构：
[1] 4-13-11 Hachi Hon Matsu Minami, Higashihiroshima 7390144, Japan
[2] Oita Univ, Fac Educ, Dannoharu Oita City 8701192, Japan
[3] Hiroshima Univ, Grad Sch Educ, Dept Math, Higashihiroshima 7398524, Japan
来源：
MANUSCRIPTA MATHEMATICA | 2018年 / 155卷 / 1-2期
关键词：
VARIABLE EXPONENT; GENERALIZED LEBESGUE; RIESZ-POTENTIALS; MAXIMAL OPERATOR; EMBEDDINGS; THEOREM;
D O I：
10.1007/s00229-017-0944-5
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 Sobolev's embeddings for Musielak-Orlicz-Sobolev functions in for , as extensions of Harjulehto and Hasto (Publ Mat 52:347-363, 2008), Hasto (Math Res Lett 16(2):263-278, 2009) and Hasto et al. (Glasg Math J 52:227-240, 2010). Here is a function such that is uniformly almost increasing positive function of .
引用
收藏
页码：209 / 227
页数：19
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