Characterization of orlicz-sobolev space

被引：10
|
作者：
Tuominen, Heli [1 ]
机构：
[1] Univ Jyvaskyla, Dept Math & Stat, FI-40014 Jyvaskyla, Finland
来源：
ARKIV FOR MATEMATIK | 2007年 / 45卷 / 01期
基金：
芬兰科学院;
关键词：
D O I：
10.1007/s11512-006-0023-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give a new characterization of the Orlicz-Sobolev space W-1,W-psi (R-n) in terms of a pointwise inequality connected to the Young function psi. We also study different Poincare inequalities in the metric measure space.
引用
收藏
页码：123 / 139
页数：17
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