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

Hàjek-Rèniy Type Inequality for Banach Space Valued Martingales and Its Applications
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摘要 In this paper,we establish the Hàjek-Rèniy type inequality for Banach space valued martingales generalizing the recent results of Tómcs 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]. In this paper,we establish the Hàjek-Rèniy type inequality for Banach space valued martingales generalizing the recent results of Tómcs 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].
作者 GONG Xiao-bing
机构地区 Key Laboratory of Numerical Simulation of Sichuan Province College of Mathematics and Information Science
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 2010年第3期464-469,共6页 数学季刊（英文版）
基金 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）
关键词 B-valued martingale p-uniformly smoothable Banach space Hàjek-Rèniy type inequality for B-valued martingale B-valued martingale p-uniformly smoothable Banach space Hàjek-Rèniy type inequality for B-valued martingale
分类号 O177.2 [理学—基础数学]
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参考文献11

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Chinese Quarterly Journal of Mathematics
2010年 第3期

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