关于赋Luxemburg范数广义Orlicz序列空间的(J)非方点(英文)  

THE NONSQUARE POINT OF GENERALIZED ORLICZ SEQUENCE SPACES WITH LUXEMBURG NORM

作　　者：石忠锐[1] 张博[1] 

机构地区：[1]上海大学数学系,上海200444

出　　处：《数学杂志》2014年第3期406-416,共11页Journal of Mathematics

基　　金：Supported by National Natural Science Foundation of China(11271245);Discipline Project at the Corresponding Level of Shanaghai(A.13-0101-12-005)

摘　　要：本文研究了赋Luxemburg范数广义Orlicz序列空间的(J)非方点.通过分析、综合经典Orlicz空间与广义Orlicz空间的结构,给出了用生成函数表达该性质的充分必要条件.该结果不仅推广了经典空间的结果,也是十分好用的.In this article, we investigate the（J）nonsquare point of generalized Orlicz sequence spaces. Analysing and combining the structures of the classical Orlicz spaces and the generalized ones, we get sufficient and necessary conditions of this property by the generating function, which not only generalizes the results of the classical Orlicz sequence spaces but also is easy to use.

关 键 词：广义Orlicz序列空间 LUXEMBURG范数 (J)非方点 

分 类 号：O177.2[理学—数学]