凹函数生成的Hardy-Orlicz鞅的原子分解(英文)  

ATOMIC DECOMPOSITIONS OF MARTINGALES IN HARDY-ORLICZ SPACES GENERATED BY CONCAVE FUNCTIONS

作　　者：张学英[1,2] 张传洲[2] 

机构地区：[1]武汉大学数学与统计学院,湖北武汉430072 [2]武汉科技大学理学院,湖北武汉430065

出　　处：《数学杂志》2013年第2期259-267,共9页Journal of Mathematics

基　　金：Supported by National Natural Science Foundation of China(11201354);Hubei Province Key Laboratory of Systems Science in Metallurgical Process(Wuhan University of Science and Technology)(Y201121);National Natural Science Foundation of Pre-Research Item(2011XG005)

摘　　要：本文我们讨论凹函数生成的Hardy-Orlicz鞅的原子分解.通过原子分解,鞅空间与Banach空间几何性质之间的关系得到研究,扩展了许多已经结论.In this paper the atomic decompositions of martingales in Hardy-Orlicz spaces generated by concave functions are given. With the help of the atomic decompositions the relation between the martingale spaces and geometric properties of Banach spaces are investigated, which generalize some known results.

关 键 词：HARDY-ORLICZ空间 原子分解 p-光滑的 

分 类 号：O174.2[理学—数学]