B值拟鞅的原子分解  

Atomic Decompositions for B-Valued Quasimartingales

作　　者：李驭繁[1] 刘培德[1] 

机构地区：[1]武汉大学数学与统计学院,湖北武汉430072

出　　处：《武汉大学学报（理学版）》2006年第3期267-272,共6页Journal of Wuhan University:Natural Science Edition

基　　金：国家自然科学基金资助项目(19771063)

摘　　要：定义了B值拟鞅原子,建立了相应的B值拟鞅原子分解定理,由此进一步讨论了拟鞅空间pΣα,pQα,Hα,pHα,Dα之间的嵌入关系,指出它们与值空间的几何性质密切相关.Some kinds of quasimartingale atoms are defined and the atomic decomposition for some B-valued quasimartingales are made under certain geometric conditions. Conversely, these geometric properties are characterized in terms of the respective atomic decomposition. As a result, some quasimartingale inequalities are obtained,which are applied to investigate the relation between some B-valued quasimartingale spaces.

关 键 词：B值拟鞅 原子分解 拟鞅空间 BANACH空间几何学 

分 类 号：O211.6[理学—概率论与数理统计]