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.
出处
《福建师范大学学报（自然科学版）》
CAS
CSCD
北大核心
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)
关键词
可测集
测度收敛
积分的极限
measurable set
convergence in measure
limit of integral sequence
