由有限核生成的Loeb测度  

Loeb measure generated by finite kernel

作　　者：史艳维[1] 马春晖[2] 

机构地区：[1]西安培华学院基础部,西安710125 [2]西安建筑科技大学理学院,西安710055

出　　处：《华中师范大学学报（自然科学版）》2013年第6期759-762,共4页Journal of Central China Normal University：Natural Sciences

基　　金：陕西省自然科学基金项目(2007A12);陕西省教育厅专项科学研究项目(11JK0507)

摘　　要：在非标准多饱和模型下,研究了由有限核生成的Loeb测度的性质.首先,利用内可测空间中的内有限核构造了相应的Loeb测度.其次,讨论了内可测空间和内乘积可测空间中由内有限核生成的Loeb测度的性质.最后,在内乘积可测空间上,证明了由内有限核生成的Loeb测度的Keisler’s Fubini定理.In nonstandard poly-saturated model,the properties of Loeb measure generated by finite kernel are studied.Firstly,the corresponding Loeb measure is constructed with the internal finite kernel in internal measurable spaces.Then,the properties of Loeb measures generated by internal finite kernel are discussed in internal measurable spaces and product measurable spaces.Finally,Keisler＇s Fubini theorem of Loeb measure generated by internal finite kernel is proved in internal product measurable spaces.

关 键 词：非标准多饱和模型 LOEB测度 有限核 Keisler's FUBINI定理 

分 类 号：O141.41[理学—数学]