Weighted Inequalities in Martingale Spaces  

作　　者：CHEN Wei,LIU Peide School of Mathematics and Statistics,Wuhan University,Wuhan 430072,Hubei,China 

出　　处：《Wuhan University Journal of Natural Sciences》2010年第1期1-6,共6页武汉大学学报（自然科学英文版）

基　　金：Supported by the National Natural Science Foundation of China(10671147)

摘　　要：We give a condition on the couple of weights（u,v） for Doob＇s operator to be a bounded one from martingale space Lp（u） to function space Lp（v） .Moreover,we also obtain necessary and sufficient conditions in order that the maximal geometric mean operator is bounded from martingale space Lp（u） to function space Lp（v） or Lp,∞（v） .We give a condition on the couple of weights（u,v） for Doob＇s operator to be a bounded one from martingale space Lp（u） to function space Lp（v） .Moreover,we also obtain necessary and sufficient conditions in order that the maximal geometric mean operator is bounded from martingale space Lp（u） to function space Lp（v） or Lp,∞（v） .

关 键 词：martingale maximal operator maximal geometric mean operator WEIGHT 

分 类 号：O211.6[理学—概率论与数理统计] O178[理学—数学]