Some Geometric Properties Related to Modular Functiona

ZHAO Yan-feng; YUAN Li-li; LI Hui-jun; WANG Li-tao

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Some Geometric Properties Related to Modular Functiona

更新时间：2026-07-10

- Some Geometric Properties Related to Modular Functiona
- Vol. 16, Issue 6, Pages: 86-89(2011)
- 作者机构：
  
  哈尔滨理工大学研究生学院
- 作者简介：
- 基金信息：
- DOI：
  CLC： O177.2
- Published：2011
- 稿件说明：
移动端阅览
ZHAO Yan-feng, YUAN Li-li, LI Hui-jun, et al. Some Geometric Properties Related to Modular Functiona[J]. 2011, 16(6): 86-89.
DOI：

ZHAO Yan-feng, YUAN Li-li, LI Hui-jun, et al. Some Geometric Properties Related to Modular Functiona[J]. 2011, 16(6): 86-89. DOI：

摘要

在一般的Lebesgue可测空间中引入了一个新的模函数

从而生成一个新的Orlicz空间.在该空间中

讨论了Luxemburg范数与模函数之间的关系

并得到了Orlicz空间的单位球面上元素是其闭单位球端点的判别准则. 更多还原

Abstract

A new modular functional is introduced in general Lebesgue measure space.Moreover

the Orlicz space is generated.The relationship between the Luxemburg norm and the modular functional in the above space is discussed

and criteria for extreme points of the closed unit ball are also obtained.

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Related Institution

哈尔滨师范大学文理学院

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