几类B值小指标鞅空间的原子分解  

ATOMIC DECOMPOSITIONS FOR SEVERAL CLASSES OF B-VALUED MARTINGALE SPACES WITH SMALL INDEX

作　　者：王秀兰[1] 刘云[2] 

机构地区：[1]武汉大学数学与统计学院,湖北武汉430072 [2]沙洋师范高等专科学校数理系,湖北沙洋448200

出　　处：《数学杂志》2006年第5期529-536,共8页Journal of Mathematics

基　　金：国家自然科学基金资助项目( 10371093) .

摘　　要：本文对几类B值小指标鞅空间建立了原子分解定理,利用原子分解讨论了它们之间的相互嵌入关系,其原子分解的存在性和它们之间的关系均与Banach空间的凸性和光滑性有密切联系.Some theorems of atomic decomposition for Banach-space-valued martingale spaces index are established, by applying them, the embedding relationship between these martingale disscussed. The results obtained here are connected closely with the convexity and smoothness space in which the martingales take values. with small spaces are of Banach

关 键 词：原子分解 鞅空间 BANACH空间几何学 

分 类 号：O211.4[理学—概率论与数理统计]