摘要
本文对实变函数中Lusin定理进行了解释说明,得出结论:(1)Lusin定理中的ε不能改为0;(2)逆命题成立;(3)可测函数不能表示成多项式;(4)mE=+∞时Lusin定理仍成立。
This paper gives some notes to the Lusin theorem and draws conclusions as follows, ε can not be changed into O;The converse proposition holds;f（x） can not be expressed by polynomial; Lusin theorem still holds when mE = ＋∞.
关键词
Lusin定理
可测集
可测函数
闭集
Lusin theorem
measurable set
measurable function
closed set
