单调集值测度空间上可测函数列的依测度收敛  

Convergence in Measure of Measurable Functions on Monotone Set-valued Measure Space

作　　者：刘晨玉 吴健荣[1] 

机构地区：[1]苏州科技大学数理学院,江苏苏州215009

出　　处：《模糊系统与数学》2017年第5期111-119,共9页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(11371013)

摘　　要：本文首先介绍一种特殊的单调集值测度,然后给出这种单调集值测度的集值序连续性、集值双零渐近可加性等性质;在此基础上,在单调集值测度空间上讨论这些性质与可测函数列依测度收敛的关系。A special monotone set-valued measure is first introduced in this paper. Then, order conti- nuity and double asymptotic null-additivity are discussed in the monotone set-valued measure space. After those, some relationships among the properties of monotone set-valued measures and convergence in measure of measurable functions are studied on monotone set--valued measure spaces.

关 键 词：集值分析 单调集值测度 可测函数 依测度收敛 

分 类 号：O159[理学—数学]