关于LL积分的两个定理

Two theorems on LL integral

本文通过两个引理 ,给出了有界可测集 E上的 a.e.有限的可测函数 LL可积的一个充分条件和一个必要条件 .

In this paper, supposed f(x) is a.e. finite on E which is a limited measurable set, We, after two lemmas, give one sufficient condition and one necessary condition to the situation that f(x) is LL integral on E.