Chinese Quarterly Journal of Mathematics ›› 2002, Vol. 16 ›› Issue (1): 77-84.

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

  

  1.  上海师范大学数学系 上海200234 
  • Received:1995-08-25 Online:2002-03-30 Published:2024-05-14
  • About author:ZENG Lu-chuan(1965-),male,native of Xinhuang,Hunan,a professor of Shanghai Normal University,Ph.D.,engages in functional analysis.
  • Supported by:
    Supported by the Teaching and Research Award Fund for Outstanding Young Teachers in Higher Education
    Institutions of MOE;Supported by the National Natural Science Foundation of China(19801023)

Abstract: 设 2 ≤ p<∞ ,(fn)是一个鞅 ,利用P(|fn|>λ‖T(fn)‖∞)型的概率指数界 ,其中 ,T是作用在鞅上的拟线性算子 ,本文估计了鞅的极大函数的Lp_范数的上界。本文结果改进与推广了先前由HITCZENKO [7,8,9]与作者 [1 0 ]得到的结果 

Key words: 关键词: 鞅, 停时, 极大函数, Lp-范数,

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