摘要
本文研究可测函数列极限与级数和的换序问题,给出了可测函数列近一致收敛的若干充分条件,并证明了它们的等价性。
In this paper we disscuss the problem of commutating order in connection with thelimit and sum of series of a sequence of measurable functions, It is our purpose to providesome sufficient conditions of near uniform convergence of a seouence of measurable functionsane their equivalent relations are proved.
关键词
可测函数列阵
一致收敛
收敛
serial matrix of measurable functions, uniform conergence,near uniform conver-gence.