TWO-WEIGHT WEAK-TYPE MAXIMAL INEQUALITIES FOR MARTINGALES  

作　　者：任颜波 侯友良 

机构地区：[1]Department of Mathematics & Physics,Henan University of Science and Technology [2]School of Mathematics and Statistics,Wuhan University

出　　处：《Acta Mathematica Scientia》2009年第2期402-408,共7页数学物理学报（B辑英文版）

基　　金：Sponsored by the National NSFC (10671147)

摘　　要：In this article, some necessary and sufficient conditions are shown in order that the inequality of the form Ф1（λ）Pu（f^＊〉λ）≤Ev （Ф2（C｜f∞｜）） holds with some constant C 〉 0 independent of martingale f = （fn）n≥0 and λ 〉 0, where Фl and Ф2 are a pair of Young functions, f^＊=sup n≥0｜fn｜ adn f∞=lim n→∞ fn a.e.In this article, some necessary and sufficient conditions are shown in order that the inequality of the form Ф1（λ）Pu（f^＊〉λ）≤Ev （Ф2（C｜f∞｜）） holds with some constant C 〉 0 independent of martingale f = （fn）n≥0 and λ 〉 0, where Фl and Ф2 are a pair of Young functions, f^＊=sup n≥0｜fn｜ adn f∞=lim n→∞ fn a.e.

关 键 词：MARTINGALE WEIGHT weak-type inequality Young function 

分 类 号：O178[理学—数学] O152.7[理学—基础数学]