非正函数的积分极限定理  

Integral Limitation Theorems of Nonpositive Functions

作　　者：郑利凯[1] 

机构地区：[1]内蒙古民族大学数学学院,内蒙古通辽028000

出　　处：《华北水利水电学院学报》2011年第2期158-160,共3页North China Institute of Water Conservancy and Hydroelectric Power

基　　金：内蒙古自治区自然基金项目(2010MS0119)

摘　　要：研究Rn上非正函数的积分极限定理.得出并证明了非正函数的列维定理、逐项积分定理、Fatou引理,以及非正函数的L积分与R反常积分的相互关系定理.Integral limitation theorems of nonpositive functions in Rn were studied and the Levi theorem,the theorem of term by term integral,Fatou lemma and the theorem of correlations between L integral and R improper integral of nonpositive functions have been found and proved.

关 键 词：积分极限定理 非正函数 LEVI定理 FATOU引理 R反常积分 L积分 

分 类 号：O174.1[理学—数学]