Banach空间值鞅上的拟局部算子  

QUASI-LOCAL OPERATORS ON BANACH-SPACE-VALUED MARTINGALES

作　　者：任颜波[1] 侯友良[1] 

机构地区：[1]武汉大学数学与统计学院

出　　处：《数学杂志》2007年第6期725-730,共6页Journal of Mathematics

基　　金：国家自然科学基金资助项目(批准号:10371093)

摘　　要：本文研究了拟局部算子在几个Banach空间值鞅空间上的有界性.给出了几个有界性定理,证明了鞅空间的简单原子分解.得到几个极大算子和p均方算子的一系列鞅不等式以及鞅空间的包含关系.In this paper the boundedness of quasi-local operators on some B-valued martingale spaces are studied. Some boundedness theorems are given, and some simple atomic decompositions are also proved. As applications a series of inequalities concerning the maximal operator and the p-varation operator and some imbedding relationships between martingale spaces are obtained.

关 键 词：Banach值鞅 简单原子分解 拟局部算子 

分 类 号：O211.6[理学—概率论与数理统计]