集值测度的拉东-尼古丁定理  

The Radon-Nikodym Theory of Set-valued Measures

作　　者：徐金红[1] 

机构地区：[1]河北经贸大学基础部,河北石家庄050091

出　　处：《河北师范大学学报（自然科学版）》2000年第4期421-423,共3页Journal of Hebei Normal University：Natural Science

基　　金：国家自然科学基金资助项目(79770025)

摘　　要：在一般实值可测函数关于集值测度积分的基础上 ,利用集值测度的支撑函数 ,讨论了集值测度的拉东尼古丁定理 ,将经典的拉东尼古丁定理做了推广 。On the basis of the definitions about the integrals of real measurable functions about set valued measures,the Radon Nikodym theorem of set valued measures is discussed by means of the support functions on the set valued measures,and the Radon Nikodym theorem of the classical measures is extended.Especially the Radon Nikodym theorem of one dimentional set valued measures is obtained.

关 键 词：集值测度 支撑函数 集值积分 拉东-尼古丁定理 

分 类 号：O174.12[理学—数学]