TWO-WEIGHT WEAK-TYPE MAXIMAL INEQUALITIES FOR MARTINGALES

被引：0

作者：

任颜波 ^{[1
]}

侯友良 ^{[2
]}

机构：

[1] Department of Mathematics & Physics,Henan University of Science and Technology

[2] School of Mathematics and Statistics,Wuhan University

来源：

Acta Mathematica Scientia | 2009年 / 29卷 / 02期

关键词：

Martingale; weight; weak-type inequality; Young function;

D O I：

暂无

中图分类号：

O178 [不等式及其他];

学科分类号：

0701 ; 070101 ;

摘要：

In this article,some necessary and sufficient conditions are shown in order that the inequality of the form Φ1(λ)Pu(f> λ) ≤ Ev(Φ2(C|f∞|)) holds with some constant C > 0 independent of martingale f =(fn)n≥0 and λ > 0,where Φ1 and Φ2 are a pair of Young functions,f = sup n≥0 |fn| and f∞ = lim n→∞ fn a.e.

引用

页码：402 / 408

页数：7

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