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

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.