Banach空间值弱Garsia型鞅空间及其原子分解(英文)  

Banach Space-Valued Weak Martingale Garsia Spaces and Atomic Decompositions

作　　者：朱永刚[1] 于林[1] 

机构地区：[1]三峡大学理学院,湖北宜昌443002

出　　处：《应用数学》2008年第3期510-517,共8页Mathematica Applicata

基　　金：the Natural Research Foundation of Education Bureau of Hubei Province(D200613001)

摘　　要：定义了Banach空间值弱Garsia型鞅空间和三种类型原子,证明了Banach空间值弱Garsia型鞅空间上的四个原子分解定理,并利用这些定理,得到Banach空间值弱Garsia型鞅空间的互相嵌入关系,其结果与Banach空间的凸性和光滑性有密切关系.Some theorems of atomic decomposition for weak Garsia spaces of Banach space-valued martingales are established, applying them, the embedding relationships among these martingale spaces are discussed,and the results obtained here are connected closely with the geometric properties of the Banach space.

关 键 词：Banach空间值弱Garsia型鞅空间 平削算子 原子分解 嵌入 

分 类 号：O211.4[理学—概率论与数理统计]