单调集值测度空间上函数列依测度收敛的几个性质  

Some Properties of the Convergence in Measure for Functions on Monotone Set-valued Measure Space

作　　者：孙秀花[1] SUN Xiu-hua(Department of Mathematics,Jinzhong University,Jinzhong 030600 China)

机构地区：[1]晋中学院数学系,山西晋中030600

出　　处：《模糊系统与数学》2022年第3期45-49,共5页Fuzzy Systems and Mathematics

基　　金：山西省高等学校科技创新项目(2020L0613);晋中学院教改项目(Jg202043);晋中学院优秀数学建模团队项目。

摘　　要：首先给出了单调集值测度的S^(*)性质、集值双零渐近可加性等概念,然后在此基础上研究了单调集值测度空间上函数列依测度收敛的一些性质,并且得到了函数列依测度收敛的几个充分条件。Firstly,the concepts of property S'and double asymptotic null-additivityon monotone set-valued measure are given.Then,some properties of the convergence in measure for functions on monotone set-valued measure space are studied.Meanwhile some sufficient conditions for the convergence in measure of functions are obtained.

关 键 词：单调集值测度:依测度收敛 几乎处处收敛 

分 类 号：O159[理学—数学]