B值鞅的Hàjek-Rèniy型不等式及其应用

数学季刊 ›› 2010, Vol. 25 ›› Issue (3): 464-469.

B值鞅的Hàjek-Rèniy型不等式及其应用

Key Laboratory of Numerical Simulation of Sichuan Province, Neijiang Normal University College of Mathematics and Information Science, Neijiang Normal University

收稿日期:2008-06-04 出版日期:2010-09-30 发布日期:2023-05-30
作者简介: GONG Xiao-bing(1975- ), male, native of Linshui, Sichuan, an associate professor of Neijiang Normal University, M.S.D., engages in Banach space theory and martingale theory.
基金资助:
Supported by the Youth Foundation of the Department of Education of Sichuan Province(07ZB042)； Supported by Natural Science Foundation of the Department of Education of Sichuan Province(09ZC071)；

Hàjek-Rèniy Type Inequality for Banach Space Valued Martingales and Its Applications

Key Laboratory of Numerical Simulation of Sichuan Province, Neijiang Normal University College of Mathematics and Information Science, Neijiang Normal University

Received:2008-06-04 Online:2010-09-30 Published:2023-05-30
About author: GONG Xiao-bing(1975- ), male, native of Linshui, Sichuan, an associate professor of Neijiang Normal University, M.S.D., engages in Banach space theory and martingale theory.
Supported by:
Supported by the Youth Foundation of the Department of Education of Sichuan Province(07ZB042)； Supported by Natural Science Foundation of the Department of Education of Sichuan Province(09ZC071)；

摘要/Abstract

摘要： In this paper, we establish the Hàjek-Rèniy type inequality for Banach space valued martingales generalizing the recent results of Tómcs and L’ibor [1]. Then p-uniformly smoothable Banach space is characterized in terms of the Hàjek-Rèniy type inequality for Banach space valued martingales. Those results generalize the recent results of Gan Shixin [2].

关键词: B-valued martingale, p-uniformly smoothable Banach space, Hàjek-Rèniy type
inequality for B-valued martingale

Abstract: In this paper, we establish the Hàjek-Rèniy type inequality for Banach space valued martingales generalizing the recent results of Tómcs and L’ibor [1]. Then p-uniformly smoothable Banach space is characterized in terms of the Hàjek-Rèniy type inequality for Banach space valued martingales. Those results generalize the recent results of Gan Shixin [2].

Key words: B-valued martingale, p-uniformly smoothable Banach space, Hàjek-Rèniy type
inequality for B-valued martingale

中图分类号:

O178

龚小兵. B值鞅的Hàjek-Rèniy型不等式及其应用[J]. 数学季刊, 2010, 25(3): 464-469.

GONG Xiao-bing. Hàjek-Rèniy Type Inequality for Banach Space Valued Martingales and Its Applications[J]. Chinese Quarterly Journal of Mathematics, 2010, 25(3): 464-469.

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