单调集值测度空间中的Egoroff型定理及Riesz型定理  

Egoroff theorem and Riesz theorem on monotone set-valued measure spaces

作　　者：吴怡 吴健荣[1] WU Yi;WU Jianrong(School of Mathematics and Physics,SUST,Suzhou 215009,China)

机构地区：[1]苏州科技大学数理学院,江苏苏州215009

出　　处：《苏州科技大学学报（自然科学版）》2018年第1期21-27,共7页Journal of Suzhou University of Science and Technology（Natural Science Edition）

基　　金：国家自然科学基金资助项目(11371013)

摘　　要：给出了单调集值测度的S~*性质、PS~*性质、Egoroff条件、条件M*等概念,研究了它们之间的关系。在此基础上,给出了单调集值测度空间中Egoroff型定理和两类Riesz型定理成立的等价条件。We introduced the concepts of property S*,property PS*,Egoroff condition,condition M*on monotone set-valued measure and discussed the relationships between them.Based on this,we give the equivalent conditions for Egoroff theorem and two kinds of Riesz theorems on monotone set-valued measure spaces.

关 键 词：单调集值测度 Egoroff条件 Egoroff型定理 Riesz型定理 

分 类 号：O159[理学—数学]