摘要
讨论可测函数列依测度收敛与近一致收敛之间的关系,并给出Riesz定理的推广:若fn f于E,则存在子近一致f于E.} {fn}。
This paper discusses the relation between convergence in measure of measurable function sequence and convergence almost uniform, and shows the extension of Riesz Theorem: If fnf on E, then there exists subsequence {fni} {fn}, so that fniconvergence almost uniformf on E.
出处
《河南大学学报（自然科学版）》
CAS
2003年第2期41-42,共2页
Journal of Henan University:Natural Science
关键词
可测函数列
几乎处处收敛
依测度收敛
近一致收敛
measurable function sequence
convergence almost everywhere
convergence in measure
convergence almost uniform.
