一集类上测度的扩张  

Measure Extension on a Class of Sets

作　　者：董俊超[1] 

机构地区：[1]烟台大学数学与信息科学系,山东烟台264005

出　　处：《烟台大学学报（自然科学与工程版）》2005年第4期241-244,共4页Journal of Yantai University(Natural Science and Engineering Edition)

摘　　要：测度的扩张是从简单集上的测度出发,来构造更复杂集类上的测度.本文首先对测度扩张的理论做了一个简单总结,然后引进了一个新集类———弱半环,给出了其上的测度扩张定理,它推广了Caratheodory测度扩张定理.Measure extension is the measure generalization from the measure on a simple elass of sets to a more eomplieated one. In this paper, a brief review of the theory of the measure extension is given in the first, then a new eoneept weak semi-ring is introdueed, and the measure extension on it is followed, which has generalized the Caratheodory measure extension theorem.

关 键 词：半环 弱半环 测度 测度扩张 

分 类 号：O174[理学—数学]