数学物理学报(英文版) ›› 2009, Vol. 29 ›› Issue (5): 1439-1452.doi: 10.1016/S0252-9602(09)60116-8

• 论文 • 上一篇    下一篇

ATOMIC DECOMPOSITIONS AND |DUALS OF WEAK HARDY SPACES OF B-VALUED MARTINGALES

 马涛, 刘培德   

  1. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
  • 收稿日期:2006-10-17 修回日期:2007-07-28 出版日期:2009-09-20 发布日期:2009-09-20
  • 基金资助:

    Supported by the National Natural Foundation of China (10671147)

ATOMIC DECOMPOSITIONS AND |DUALS OF WEAK HARDY SPACES OF B-VALUED MARTINGALES

 MA Tao, LIU Pei-De   

  1. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
  • Received:2006-10-17 Revised:2007-07-28 Online:2009-09-20 Published:2009-09-20
  • Supported by:

    Supported by the National Natural Foundation of China (10671147)

摘要:

In this article, several weak Hardy spaces of Banach-space-valued martingales are introduced, some atomic decomposition theorems for them are established and their duals are investigated. The results closely depend on the geometrical properties of the Banach space in which the martingales take values.

关键词: martingale, atomic decomposition, weak Hardy space, geometry of Banach space

Abstract:

In this article, several weak Hardy spaces of Banach-space-valued martingales are introduced, some atomic decomposition theorems for them are established and their duals are investigated. The results closely depend on the geometrical properties of the Banach space in which the martingales take values.

Key words: martingale, atomic decomposition, weak Hardy space, geometry of Banach space

中图分类号: 

  • 60G42