可测集E[x;f(x)>a]的歧义及处理

The Ambiguity and Process of Measurable set E[x;f(x)>a]

探讨可测集E[x ;f(x) >a]存在歧义性 ,给出处理办法 同时证明 :如果f(x)在E上可测 ,并且规定当f(x) =0时 ,1f(x) =+∞ ;当f(x) =±∞时 ,1f(x) =0 ,则 1f(x) 也是E上的可测函数 .

In this paper,the existence of ambiguity on measurable set E is discussed,the solutions are given ,and finally,the proof of Theorem A is also given precisely.