摘要
本文引入了向量值可测函数等价类[f]极限的定义,并给出了如下结果:如果[f]在[a,b]R上处处极限存在,则必存在函数g∈[f],使g在[a,b]上处处极限存在.
In this paper, we introduce the limit of vector valued measurable function equivalent class , and obtain the following result: If has limit on R everywhere, then exists a function g∈ such that g has limit on everywhere.
关键词
向量值可测函数
等价类
极限
vector valed measurable functions\ equivalent class\ limit