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.
出处
《应用数学》
CSCD
北大核心
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
关键词
BANACH空间值鞅
鞅变换
一致光滑性
一致凸性
Banach-space-valued martingale space
Martingale transform
Uniform smoothness
Uniform convexity
