函数序列关于几乎处处弱收敛概率测度序列积分的单调收敛定理  

Monotone Convergence Theorems for the Integration of Function Sequence with Respect to Almost Everywhere Weak Convergence Probability Measure Sequence

作　　者：陈颖[1] 

机构地区：[1]西北师范大学数学与信息科学学院,甘肃兰州730070

出　　处：《佳木斯大学学报（自然科学版）》2009年第3期438-440,共3页Journal of Jiamusi University：Natural Science Edition

摘　　要：研究了函数序列关于几乎处处弱收敛概率测度序列积分的单调收敛性,在新的条件下得到了单调收敛定理,并推证出概率测度几乎处处弱收敛的若干新的等价条件.Monotone convergence theorems for the integration of function sequence with respect to almost everywhere weak convergence probability measure sequence are studied. And some new equivalent conditions of almost everywhere weak convergence of probability measure are obtained.

关 键 词：概率测度 几乎处处弱收敛 单调收敛定理 一致可积 

分 类 号：O221.5[理学—运筹学与控制论]