广义鞅变换算子的p-Amemiya范数不等式及其应用  

p-Amemiya Norm Inequalities for Generalized Martingale Transform Operators and Applications

作　　者：崔云安[1] 于丽梅[1] 

机构地区：[1]哈尔滨理工大学应用科学学院,黑龙江哈尔滨150080

出　　处：《吉首大学学报（自然科学版）》2010年第5期14-18,共5页Journal of Jishou University(Natural Sciences Edition)

基　　金：黑龙江省自然科学基金资助项目(A200902)

摘　　要：证明了一类广义鞅变换算子的p-Amemiya范数不等式.作为其应用又给出了证明B值鞅的极大函数与p阶均方函数的p-Amemiya范数不等式的一种新方法,其结果刻画了Banach空间的p一致凸性和q一致光滑性.The p-Amemiya norm inequalities for a generalized martingale transform operators are proved.As an application,a new method to prove the p-Amemiya norm inequalities between the maximal functions and the p-mean functions of B-valued martingales is presented.The results depict the p uniform convexity and q uniform smoothness of the underlying Banach spaces.

关 键 词：鞅变换 p-Amemiya范数 p一致凸性 q一致光滑性 

分 类 号：O174.0[理学—数学]