Inequalities on Banach Space Valued Rearranged Functions  

Banach空间上重排函数不等式(英文)

作　　者：何峪[1] 

机构地区：[1]中山大学数学系,广东广州510275

出　　处：《Chinese Quarterly Journal of Mathematics》2001年第1期26-32,共7页数学季刊（英文版）

摘　　要：The theme in this article is the inequalities of B_valued martingales and the properties of Banach spaces. In utilising the techniques of rearranged functions, we proved that for a martingale f we have ‖M αf‖ Φ≤C pΦ ‖f # α‖ Φ and the same result for (Mf,S (p) (f)+D ∞), (Mf∧Sf,Mf∧Sf+D ∞). This contains the results in R.L.Long[1], furthermore, some of the inequalities can be used to describe the properties of Banach spaces.

关 键 词：rearranged functions martingale inequality 

分 类 号：O211.6[理学—概率论与数理统计]