可积函数空间L^P中的几种收敛性关系  

Relationship Between Several Convergences in Integrable Function Space L^p

作　　者：钟太勇[1] 李德旺[2] 余晓娟[1] 

机构地区：[1]郧阳师范高等专科学校数学系 [2]云南大学数学与统计学院,昆明650091

出　　处：《四川理工学院学报（自然科学版）》2007年第6期11-14,共4页Journal of Sichuan University of Science & Engineering(Natural Science Edition)

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.

关 键 词：空间L^P 强收敛 弱收敛 依测度收敛 

分 类 号：O117[理学—数学]