DOUBLE Φ-FUNCTION INEQUALITY FOR NONNEGATIVE SUBMARTINGALES  

作　　者：MEI TAO(College of Mathematics and Computer Sciences, Wuhan University, Wuhan 430072, China.) LIU PEIDE(College of Mathematics and Computer Sciences, Wuhan University, Wuhan 430072, China.) 

出　　处：《Chinese Annals of Mathematics,Series B》2000年第2期211-216,共6页数学年刊（B辑英文版）

基　　金：National Natural Science Foundation of China

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.

关 键 词：Matingale Nonnegative submartingale Maximal  function Φ-function inequality 

分 类 号：O174.13[理学—数学]