赋广义Orlicz范数Orlicz函数空间的H点

吉林大学学报(理学版)

赋广义Orlicz范数Orlicz函数空间的H点

王宏志¹, 段丽芬¹, 左明霞²

1. 通化师范学院数学学院, 吉林通化 134002； 2. 哈尔滨理工大学应用科学学院, 哈尔滨 150080

收稿日期:2014-02-20 出版日期:2014-11-26 发布日期:2014-12-11
通讯作者: 王宏志 E-mail:whz98@126.com

HPoints in Orlicz Function Spaces Endowed withthe Generalized Orlicz Norm

WANG Hongzhi¹, DUAN Lifen¹, ZUO Mingxia²

1. College of Mathematics, Tonghua Teachers University, Tonghua 134002, Jilin Province, China;2. College of Applied Sciences, Harbin University of Science and Technology, Harbin 150080, China

Received:2014-02-20 Online:2014-11-26 Published:2014-12-11
Contact: WANG Hongzhi E-mail:whz98@126.com

摘要/Abstract

摘要：

利用赋广义Orlicz范数Orlicz空间的结构特点, 借鉴经典Orlicz空间中H点的论证, 给出赋广义Orlicz范数Orlicz函数空间H点的判据, 并得到了赋广义Orlicz范数Orlicz函数空间具有H性质的一个充要条件.

关键词: 广义Orlicz范数, Orlicz函数空间, H点, H性质

Abstract:

Based on the structural characteristics of the Orlicz function spaces endowed with the generalized Orlicz norm and the expositions of Hpoints in classical Orlicz spaces, the criteria of Hpoints in Orlicz function spaces endowed with the generalized Orlicz norm were presented. As its application, both sufficient and necessary conditions for Hproperty of these spaces were obtained.

Key words: generalized Orlicz norm, Orlicz function space, Hpoint, Hproperty

中图分类号:

O177.3

王宏志, 段丽芬, 左明霞. 赋广义Orlicz范数Orlicz函数空间的H点[J]. 吉林大学学报(理学版), 2014, 52(06): 1181-1185.

WANG Hongzhi, DUAN Lifen, ZUO Mingxia. HPoints in Orlicz Function Spaces Endowed withthe Generalized Orlicz Norm[J]. Journal of Jilin University Science Edition, 2014, 52(06): 1181-1185.

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