Orlicz-Sobolev空间的弱局部一致凸性(英文)  

WEAKLY LOCALLY UNIFORM ROTUNDITY FOR ORLICZ-SOBOLEV SPACES

作　　者：赵静[1] 陈述涛[2] 

机构地区：[1]中国民航大学理学院,天津300300 [2]哈尔滨师范大学数学系,黑龙江哈尔滨150080

出　　处：《数学杂志》2010年第5期820-826,共7页Journal of Mathematics

基　　金：Supported by Fundamental Research Funds for the Central Universities(ZXH2009D021);the Scientific Research Project Foundation of Civil Aviation University of China(09CAUC_S05)

摘　　要：本文研究了Orlicz-Sobolev空间的弱局部一致凸性.通过运用Orlicz空间和Sobolev空间的技巧,得到了赋Luxemburg范数的Orlicz-Sobolev空间具有弱局部一致凸性的充要条件和赋Orlicz范数的Orlicz-Sobolev空间具有弱局部一致凸性的充分条件.In this article,we study the weakly locally uniform rotundity for Orlicz-Sobolev spaces.By applying the skill of Orlicz spaces and Sobolev spaces,we obtain the criteria for OrliczSobolev spaces equipped with Luxemburg norm to have weakly locally uniform rotundity and the sufficient conditions for Orlicz-Sobolev spaces equipped with Orlicz norm to have weakly locally uniform rotundity.

关 键 词：ORLICZ-SOBOLEV空间 弱局部一致凸 严格凸 △2条件 

分 类 号：O177.2[理学—数学]