单调测度空间上集值函数的Lebesgue定理  

The Lebesgue Convergence Theorems of Measurable Closed-valued Functions

作　　者：李桂玲[1] 李军[2] 陈建林[3] 张好治[1] 

机构地区：[1]青岛农业大学理学院,山东青岛266109 [2]中国传媒大学理学院 [3]中国海洋大学经济学院

出　　处：《青岛农业大学学报（自然科学版）》2007年第3期238-240,共3页Journal of Qingdao Agricultural University(Natural Science)

摘　　要：本文利用单调集函数的4种连续性的定义和可测函数序列的4种收敛性之间的关系,提出了4种类型的Lebesgue定理,并给出了单调集函数在空集连续,全集连续的充要条件。With four continuity of non - additive set function and the relation of four convergences of the measurable function sequence, four forms Lebesgue theorem about measurable closed - valued functions on monotone measure space are discussed, respectively . And the sufficient and necessary conditions of the monotone set function which is continuous of the empty set and the full set are given.

关 键 词：单调集函数 集值函数 LEBESGUE定理 

分 类 号：O159[理学—数学]