非可加集函数的Lebesgue分解

Lebesgue Decompositions of Non-Additive Set Functions

本文讨论一般的非可加集函数的Lebesgue分解定理,它是经典测度论中相应结果的扩充,同时,也为经典可加测度的Lebessue分解定理提供了另一证明方法.

This paper discusses Lebesgue decomposition theorem of more general set functions, which generalizes the corresponding results in classical measure theory. And we also provide a new proof method for Lebesgue decomposition theorem of classical additive measure.