赋广义Orlicz范数的Orlicz函数空间的弱局部完全k-凸性  

Weakly Locally Full k-Rotundityin Orlicz Function Spaces Endowed with the Generalized Orlicz Norm

作　　者：段丽芬 庄彩彩 陈洪亮 DUAN Li-fen;ZHUANG Cai-cai;CHEN Hong-liang

机构地区：[1]通化师范学院数学学院,吉林通化134002 [2]不详

出　　处：《通化师范学院学报》2020年第4期25-28,共4页Journal of Tonghua Normal University

基　　金：吉林省教育厅“十三五”科研规划项目(JJKH20180859KJ).

摘　　要：研究赋广义Orlicz范数的Orlicz函数空间弱局部完全k-凸性,利用Banach空间一般凸性理论和广义Orlicz范数的特征,得到了Orlicz函数空间关于广义Orlicz范数弱局部完全k-凸的判据.Weakly locally full k-rotundity of the Orliczfunction spaceswhich are endowed with the generalizedOrlicz norm are studied.Byusing convex theories of generalBanach spaces and the characteristics of the generalizedOrlicznorm.Criteriaof weakly locally fully k-rotundin Orlicz function spaces endowed with the generalizedOrlicz norm are obtained.

关 键 词：广义ORLICZ范数 ORLICZ函数空间 弱局部完全k-凸性 

分 类 号：O177.3[理学—数学]