Uniform rotundity in every direction of Orlicz-Sobolev spaces

被引：2

作者：

Cao, Fayun ^{[1
,2
]}

Mao, Rui ^{[1
]}

Wang, Bing ^{[1
]}

机构：

[1] East China Normal Univ, Dept Math, Shanghai 200241, Peoples R China

[2] East China Normal Univ, Shanghai Key Lab PMMP, Shanghai 200241, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2016年

关键词：

Orlicz-Sobolev spaces; rotund; modular norm;

D O I：

10.1186/s13660-016-1220-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the extreme points and rotundity of Orlicz-Sobolev spaces. Analyzing and combining the properties of both Orlicz spaces and Sobolev spaces, we get the sufficient and necessary criteria for Orlicz-Sobolev spaces equipped with a modular norm to be uniformly rotund in every direction.

引用

页数：10