BOUNDEDNESS OF SEVERAL OPERATORS ON MARTINGALE SPACES AND THE GEOMETRY OF BANACH-SPACES

被引：0
|
作者：
LIU, PD [1 ]
LONG, RL [1 ]
机构：
[1] ACAD SINICA,INST MATH,BEIJING 100080,PEOPLES R CHINA
来源：
CHINESE ANNALS OF MATHEMATICS SERIES B | 1992年 / 13卷 / 02期
关键词：
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this paper is establishing some inequalities of several operators on Banach-space-valued martingales and using them to give some characterizations of geometrical properties of Banach spaces. In particular, the PHI-function inequalitities of sharp operators f(p)#, f(p)#, p-variation operators W(p), W(p) and the martingale tranform operator T(u) are discussed. It is proved that the boundedness of these operators characterizes the smoothness, convexity and UMD-property of Banach spaces.
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页码：167 / 179
页数：13
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