L~r Convergence for B-valued Random Elements

被引：0
|
作者：
Ping Yan CHEN [1 ]
Ding Cheng WANG [2 ]
机构：
[1] Department of Mathematics, Ji'nan University
[2] School of Applied Mathematics, University of Electronic Science and Technology of China
来源：
Acta Mathematica Sinica,English Series | 2012年 / 04期
基金：
中国国家自然科学基金;
关键词：
Lr convergence; random element; Rademacher type p; Marcinkiewicz–Zygmund strong law of large number;
D O I：
暂无
中图分类号：
O177.2 [巴拿赫空间及其线性算子理论];
学科分类号：
070104 ;
摘要：
The paper investigates Lp convergence and Marcinkiewicz-Zygmund strong laws of large numbers for random elements in a Banach space under the condition that the Banach space is of Rademacher type p, 1 < p < 2. The paper also discusses Lr convergence and Lr bound for random elements without any geometric restriction condition on the Banach space.
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页码：857 / 868
页数：12
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