单调集值测度空间上函数列的伪依测度收敛  

T he pseudo-convergence in measure of sequence of functions on monotone set-valued measure space

作　　者：孙秀花[1] SUN Xiuhua(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：《安徽大学学报（自然科学版）》2024年第4期15-20,共6页Journal of Anhui University(Natural Science Edition)

基　　金：山西省高等学校教学改革创新项目(J20231244);晋中学院教改项目(Jg202043)。

摘　　要：在单调集值测度空间上,首先给出了函数列伪依测度收敛与伪几乎处处收敛的一个关系,然后研究了单调集值测度在一致伪自连续的条件下,函数列伪依测度收敛的几个性质.On monotone set valued measure space,firstly,a relationship between pseudo dependent measure convergence and pseudo almost everywhere convergence of function sequence was given.Then,under the condition of uniform pseudo autocontinuity of monotone set-valued measure,some properties of convergence of sequence of functions pseudo-dependent measure were studied.

关 键 词：一致伪自连续 单调集值测度 伪依测度收敛 

分 类 号：O159[理学—数学]