Acta mathematica scientia,Series B ›› 2009, Vol. 29 ›› Issue (5): 1439-1452.doi: 10.1016/S0252-9602(09)60116-8

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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)

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

CLC Number: 

  • 60G42
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