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J4 ›› 2010, Vol. 45 ›› Issue (5): 95-100.

• 论文 • 上一篇    下一篇

向量值弱Orlicz鞅空间的弱原子分解

朱永刚,于林   

  1. 三峡大学理学院, 湖北 宜昌 443002
  • 收稿日期:2009-01-18 出版日期:2010-05-16 发布日期:2010-05-24
  • 作者简介:朱永刚(1977-),男,讲师,硕士,主要研究鞅空间理论及其应用.Email: zyg@ctgu.edu.cn 于林(1965-),男,教授,博士.Email: yulin@ctgu.edu.cn
  • 基金资助:

    国家自然科学基金资助项目(10371093);湖北省教育厅自然科学研究计划重点项目(D200613001)

Weak atomic decompositions for vector-valued weak Orlicz martingale spaces

ZHU Yong-gang, YU Lin   

  1. College of Science, China Three Gorges University, Yichang 443002, Hubei, China
  • Received:2009-01-18 Online:2010-05-16 Published:2010-05-24

摘要:

定义了向量值弱Orlicz鞅空间和3种类型的弱原子,证明了向量值弱Orlicz鞅空间上的一些弱原子分解定理,并利用这些分解,得到向量值弱Orlicz鞅空间之间的嵌入关系,其结果与Banach空间的几何性质有密切关系。

关键词: Banach空间;弱Orlicz鞅空间;弱原子分解;嵌入

Abstract:

Some vector-valued weak Orlicz martingale spaces and three type weak atomics are defined, and the primary theorems of weak atomic decompositions for these weak spaces are established. As an application, the embedding relationships among these martingale spaces are discussed, and the results obtained here are closely connected with the geometric properties of the Banach space.

Key words: Banach space;weak Orlicz martingale spaces;weak atomic decomposion;embedding

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