期刊信息
- 刊名： 河北师范大学学报（自然科学版）Journal of Hebei Normal University (Natural Science)
- 主办： 河北师范大学
- ISSN： 1000-5854
- CN： 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
The Radon-Nikodym Theory of Set-valued Measures
摘要/Abstract
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 ,特别是得到了一维集值测度的拉东尼古丁定理
Abstract：
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 thesupport functions on the set-valued measures,and the Radon-Nikodym theorem of the classical measuresis extended. Especially the Radon-Nikodym theorem of one-dimentional set- valued measures is obtained.