条件数学期望平滑性质的某些推广及应用

Some extensions and applications of smoothing property of conditional expection

从条件数学期望二个最基本的平滑性质入手,讨论了平滑性质的一些推广与应用,利用测度论中的基本方法给出了二个新的命题及其证明,并作了进一步的讨论。

This paper begin from the two most elementary smoothing formulas discussed the various extensions and applications.By the basic manners in measure theory,we show two new commuting formulas.And some discussing about the formulas are given.