广义鞅变换算子的p-Amemiya范数不等式及其应用

journal6 ›› 2010, Vol. 31 ›› Issue (5): 14-18.

广义鞅变换算子的p-Amemiya范数不等式及其应用

（哈尔滨理工大学应用科学学院，黑龙江哈尔滨150080）

出版日期:2010-09-25 发布日期:2012-04-12
作者简介:崔云安（1961-），男，黑龙江海伦人，教授，博士生导师，主要从事泛函分析研究.
基金资助:
黑龙江省自然科学基金资助项目(A200902)

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

(Applied Science College,Harbin Univ. Sci. Tech.,Harbin 150080,China)

Online:2010-09-25 Published:2012-04-12

摘要/Abstract

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.

关键词： 鞅变换, p-Amemiya范数, p一致凸性, q一致光滑性

Abstract: 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.

Key words: martingales transform, p-Amemiya norm, p uniform convexity, q uniform smoothness

崔云安, 于丽梅. 广义鞅变换算子的p-Amemiya范数不等式及其应用[J]. journal6, 2010, 31(5): 14-18.

CUI Yun-An, YU Li-Mei. p-Amemiya Norm Inequalities for Generalized Martingale Transform Operators and Applications[J]. journal6, 2010, 31(5): 14-18.