Upper Bounds for the L_p-norms of the Maximal Functions of Martingales

鞅的极大函数的L_p-范数的上界(英文)

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摘要 Let 2≤p【∞ and let (f n) be a martingale. Using exponential bounds of the probabilities of the type P(|f n|】λ‖T(f n)‖ ∞) for some quasi-linear operators acting on martingales, we estimate upper bounds for the L p-norms of the maximal functions of martinglaes. Our result is the extension and improvements of the results obtained previously by HITCZENKO and ZENG .

作者曾六川

机构地区上海师范大学数学系

出处《Chinese Quarterly Journal of Mathematics》 CSCD 2002年第1期77-84,共8页 数学季刊（英文版）

基金 SupportedbytheTeachingandResearchAwardFundforOutstandingYoungTeachersinHigherEduca tionInstitutionsofMOE SupportedbytheNationalNaturalScienceFoundationofChina(1980 10 2 3)

关键词 MARTINGALE stopping time maximal function L p-norm 鞅极大函数 Lp-范数上界

分类号 O177.92 [理学—基础数学] O211.6 [理学—概率论与数理统计]

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Chinese Quarterly Journal of Mathematics

2002年第1期

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Upper Bounds for the L_p-norms of the Maximal Functions of Martingales

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