Banach空间的RNP及鞅不等式的相关研究  

A Study of the Radon-Nikodym Property and Inequality of Martingale in the Banach Space

作　　者：梁泽霖[1] 钱能生[1] 

机构地区：[1]五邑大学数理系,广东江门529020

出　　处：《五邑大学学报（自然科学版）》2010年第1期61-63,共3页Journal of Wuyi University(Natural Science Edition)

摘　　要：设B是有限维的,通过研究B值鞅型序列之间的关系及鞅的收敛性、RNP和光滑性,得出了RNP一个简明的充分条件和B值鞅的一个不等式.We restrict B to the finite-dimensional＇s Banach space. By studying the relationship between B-valued martingale sequences and the convergence, Radon-Nikodym property and smoothness of the B-valued martingale, we get a concise necessary sufficient condition and an inequality of B-valued martingale.

关 键 词：RNP B值鞅 P一阶光滑 BANACH空间 

分 类 号：O211.4[理学—概率论与数理统计]