Orlicz-Sobolev空间的弱局部一致凸性
Orlicz-Sobolev공간적약국부일치철성
WEAKLY LOCALLY UNIFORM ROTUNDITY FOR ORLICZ-SOBOLEV SPACES
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    数学杂志 수학잡지
    JOURNAL OF MATHEMATICS
    2010年 5期 820-826 ,共7页

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    Orlicz-Sobolev空间%弱局部一致凸%严格凸%△2条件 Orlicz-Sobolev空間%弱跼部一緻凸%嚴格凸%△2條件
    Orlicz-Sobolev공간%약국부일치철%엄격철%△2조건
    Orlicz-Sobolev spaces%weakly locally uniform rotundity%strictly convex%△2 conditions
    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.
    본문연구료Orlicz-Sobolev공간적약국부일치철성.통과운용Orlicz공간화Sobolev공간적기교,득도료부Luxemburg범수적Orlicz-Sobolev공간구유약국부일치철성적충요조건화부Orlicz범수적Orlicz-Sobolev공간구유약국부일치철성적충분조건.
    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 Orlicz-Sobolev 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.
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