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ATOMIC DECOATOMIC DECOMPOSITIONS AND DUALS OF WEAK HARDY SPACES OF B-VALUED MARTINGALES 被引量:6

ATOMIC DECOATOMIC DECOMPOSITIONS AND DUALS OF WEAK HARDY SPACES OF B-VALUED MARTINGALES
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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. 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.
作者 马涛 刘培德
出处 《Acta Mathematica Scientia》 SCIE CSCD 2009年第5期1439-1452,共14页 数学物理学报(B辑英文版)
基金 Supported by the National Natural Foundation of China(10671147)
关键词 MARTINGALE atomic decomposition weak Hardy space geometry of Banach space martingale atomic decomposition weak Hardy space geometry of Banach space
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  • 1Carl Herz.H p -spaces of martingales, 0<p≦1[J].Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete.1974(3)
  • 2Coifman,R. R.A real variable characterization of Hp[].Studia Mathematica.1974
  • 3Liu,P. D.Martingale spaces and the geometric property of banach Spaces, Science in China (in Chinese) , Ser[].A.1990
  • 4Pisier,G.Martingales (?)[]..1974
  • 5Kwapien,S.Isomorphic characterizations of inner product spaces by orthogonal series with vector valued coefficients[].Studia Mathematica.1972

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