摘要
文章对可积函数空间L^P中强收敛、弱收敛和依测度收敛几种收敛的定义和性质进行归纳和总结,讨论他们之间的关系,并给出了相应结果的证明,从而使各种收敛关系更加明晰和透彻。
The definitions and properties of strong convergence, weak convergence and convergence in measure of integrable function space L^p are generalized in the paper. We discussed their interrelationship and gave some proofs about the corresponding results, which made the connections between them more clear and thorough.
出处
《四川理工学院学报（自然科学版）》
CAS
2007年第6期11-14,共4页
Journal of Sichuan University of Science & Engineering(Natural Science Edition)
关键词
空间L^P
强收敛
弱收敛
依测度收敛
space L^P
strong convergence
weak convergence
convergence in measure
