关于测度收敛的若干性质  

Some Properties of Convergence in Measure

作　　者：陈剑岚[1] 苏维钢[1] 

机构地区：[1]福建师范大学数学与计算机科学学院,福建福州350007

出　　处：《福建师范大学学报（自然科学版）》2008年第5期106-108,共3页Journal of Fujian Normal University：Natural Science Edition

基　　金：福建省教育厅基金资助项目(JB04249)

摘　　要：主要研究函数序列测度收敛的性质,包括测度收敛的等价子列刻画;在可列个可测集上均测度收敛的序列在并集上未必测度收敛的反例以及使其成立的一个充分条件;测度收敛意义下积分序列极限的三大定理等.Discusses some properties of convergence in measure. It gives an equivalent description of convergence in measure about the subsequence, the counter example and a sufficient condition about the proposition that the sequence convergent in measure on countable measurable sets may not converge in measure on their union set, three theorems of convergence in measure about the limit of integral sequence.

关 键 词：可测集 测度收敛 积分的极限 

分 类 号：O177.7[理学—数学]