多元向量值测度(英文)  

Multivariate Vector-valued Measure

作　　者：邸继征[1] 

机构地区：[1]山西师范大学数学系,临汾041004

出　　处：《数学研究》2001年第4期329-338,共10页Journal of Mathematical Study

基　　金：thereturnedoverseasscholarfundationofShanxiProvince

摘　　要：在本系列论文中 ,研究了相应于多重线性映射的强测度论 ;引入基于该测度论的强多重线性积分系统 ;建立了基于弱测度论的弱积分理论 ,这些结果属于多元向量值测度论的范畴 ,其积分模型几乎包含了所有现今广泛应用的积分 .In this series of papers, a theory of the strong measure related to a multilinear mapping is studied; a system of the strong multilinear integrals based on the theory is introduced; a theory of the weak integral opposite of the weak measure are set up. These results contribute to multivariate vector-valued measures and the models of these integrals cover almost all integrals widely used today.

关 键 词：多重线性映射 强测度 强积分 向量值测度 

分 类 号：O174.12[理学—数学]