DOUBLE Φ-FUNCTION INEQUALITY FOR NONNEGATIVE SUBMARTINGALES

被引：0
|
作者：
MEI TAO(College of Mathematics and Computer Sciences
机构：
来源：
Chinese Annals of Mathematics | 2000年 / 02期
基金：
中国国家自然科学基金;
关键词：
Matingale; Nonnegative submartingale; Maximal function; Φ-function inequality;
D O I：
暂无
中图分类号：
O174.13 [凸函数、凸集理论];
学科分类号：
070104 ;
摘要：
The authors establish a kind of inequalities for nonnegative submartingales which depend on two functions　ψ and ψ, and obtain the equivalent conditions for　Φ and ψ such that this kind of inequalities holds. In the caseΦ=ψ ε△2, it is proved that this necessary and sufficient condition is equivalent to qΦ >1.
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页码：211 / 216
页数：6
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