Φ-INEQUALITIES AND LAWS OF LARGE NUMBERS OF HARDY MARTINGALE TRANSFORMS

数学物理学报(英文版) ›› 1997, Vol. 17 ›› Issue (3): 269-275.

Φ-INEQUALITIES AND LAWS OF LARGE NUMBERS OF HARDY MARTINGALE TRANSFORMS

刘培德¹, 吐尔德别克²

1. Dept. of Math. Wuhan University, Wuhan 430071, China;
2. Dept. of Math., Xinjiang University, Ulumuqi 830046, China

收稿日期:1995-09-18 修回日期:1996-01-09 出版日期:1997-09-25 发布日期:1997-09-25
基金资助:
Supported by the National Natural Science Foundation of China.

Φ-INEQUALITIES AND LAWS OF LARGE NUMBERS OF HARDY MARTINGALE TRANSFORMS

Liu Peide¹, Turdebek N. Bekjan²

1. Dept. of Math. Wuhan University, Wuhan 430071, China;
2. Dept. of Math., Xinjiang University, Ulumuqi 830046, China

Received:1995-09-18 Revised:1996-01-09 Online:1997-09-25 Published:1997-09-25
Supported by:
Supported by the National Natural Science Foundation of China.

摘要/Abstract

摘要： Using stopping time method we proved the Φ-inequalities, pointwise convergence, strong and weak laws of large numbers of Hardy martingale transforms with values in complex Banach spaces, and applying them to give several characterizations of AUMD spaces.

关键词: AUMD space, Hardy martingale, martinale transform, geometry of complex Banach space

Abstract: Using stopping time method we proved the Φ-inequalities, pointwise convergence, strong and weak laws of large numbers of Hardy martingale transforms with values in complex Banach spaces, and applying them to give several characterizations of AUMD spaces.

Key words: AUMD space, Hardy martingale, martinale transform, geometry of complex Banach space

刘培德, 吐尔德别克. Φ-INEQUALITIES AND LAWS OF LARGE NUMBERS OF HARDY MARTINGALE TRANSFORMS[J]. 数学物理学报(英文版), 1997, 17(3): 269-275.

Liu Peide, Turdebek N. Bekjan. Φ-INEQUALITIES AND LAWS OF LARGE NUMBERS OF HARDY MARTINGALE TRANSFORMS[J]. Acta mathematica scientia,Series B, 1997, 17(3): 269-275.

Φ-INEQUALITIES AND LAWS OF LARGE NUMBERS OF HARDY MARTINGALE TRANSFORMS

Φ-INEQUALITIES AND LAWS OF LARGE NUMBERS OF HARDY MARTINGALE TRANSFORMS

PDF (PC)

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 1

Metrics

本文评价

推荐阅读 10