划分空间中绝对积分的实质和作用

The characteristics and functions of absolute integralon division space

讨论了由一般（Ｈ）积分导出测度的性质以及该测度下可测函数与可积函数的关系；对划分空间中的绝对型Ｈｅｎｓｔｏｃｋ积分———Ｍｃｓｈａｎｅ积分进行了讨论，从而给出了一种利用绝对积分刻划非绝对积分的方法，由此可以看出划分空间上绝对积分的实质和作用．

Some properties of measurable sets and Umeasurable functions on division space are discussed.The relation between the (H) integral and Umeasure is studied.In addition,we give a new approach to the description of nonabsolute integral by absolute integral.Above all,we can see the characteristics and functions of absolute integral on division space.