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B值鞅的Hàjek-Rènyi型不等式及其应用 被引量:1

A Hàjek-Rènyi-Type Inequality for B-Valued Martingales and Its Applications
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摘要 首先得到了取值于Banach空间的鞅的Hàjek-Rèniy型不等式,然后利用此不等式给出了p-一致光滑空间刻划的充要条件. First, a Hajek-Renyi type inequality for Banach space valued martingales is given, then the necessary and sufficient conditions of characterizing p-uniformly smoothable Banach space are given by this inequality.
作者 龚小兵
出处 《西南大学学报(自然科学版)》 CAS CSCD 北大核心 2009年第4期21-24,共4页 Journal of Southwest University(Natural Science Edition)
基金 四川省教育厅青年基金资助项目(072B042)
关键词 B值鞅 p-一致光滑空间 B值鞅的Hajek—Reiy型不等式 B-valued martingale p-uniformly smoothable Banach space Hajek-Reniy type inequality for B-valued martingles
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参考文献12

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共引文献6

同被引文献11

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  • 2H ajekJ, R enyiA.. A generalization of an inequality of Kolomogorov [J]. Acta Mathematica Hungarica, 1955, 6(3-4) :281-284. 被引量:1
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  • 10龚小兵.p一致光滑空间的注记[J].四川师范大学学报(自然科学版),2009,32(2):164-167. 被引量:1

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