局部紧空间上一类正则Borel测度的相合性

The Coincidence of Some Regular Borel Measure in Locally Compact Spaces

在局部紧空间上的测度论中,正则性是一个比较重要的概念。在正则测度生成的过程中,有关容度和测度的关系是经典测度论中的一个比较重要的命题。该文通过给出一些条件,得到了关于两个正则测度在一定条件下相合的结果。

Regularity is a very important concept in the measure theory of locally compact spaces. In the induction of Borel measure, we always discuss the relative between content and measure. This paper discusses this problem under some special condition, and we obtained some important result about the coincidence of two regular meaure.