Banach空间值鞅变换的有界性及其应用  

Bounderness of Banach-space-valued Martingale Transform and its Applications

作　　者：于林[1] 金雁鸣[1] 

机构地区：[1]三峡大学理学院,湖北宜昌443002

出　　处：《应用数学》2006年第2期407-413,共7页Mathematica Applicata

基　　金：湖北省教育厅科研计划重点项目(2002A53008);三峡大学科技创新团队项目

摘　　要：本文给出关于Banach空间值鞅变换算子有界性的一种新的处理方法,得到一系列带有广泛性的结果,并应用鞅变换算子的有界性刻画了Banach空间的一致光滑性和一致凸性,使得许多已有文献中的结论成为本文的特例.In this paper,a new method to deal with the problems of the boundedness for Banach-space-valued martingale transform operators is presented, a series of general results which include many other results in some literature as special cases are proved,and as an application the p uniform smoothness and q uniform convexity of Banach spaces are characterized by the boundedness of martingale transform operators.

关 键 词：BANACH空间值鞅 鞅变换 一致光滑性 一致凸性 

分 类 号：O211.4[理学—概率论与数理统计]