L_([0,1])~p空间具可测核的积分算子的性质  

The Property of the Integral Operator with Measurable Kernel in L_([0,1])~p

作　　者：王伟华[1] 周莉[1] 张敬[1] 

机构地区：[1]齐齐哈尔大学理学院,黑龙江齐齐哈尔161006

出　　处：《数学的实践与认识》2017年第16期241-245,共5页Mathematics in Practice and Theory

基　　金：黑龙江省教育厅基本业务专项(135109229)

摘　　要：主要在L_([0,1])~p空间中研究核为可测函数的积分算子的性质.通过运用泛函分析的相关知识得到当p>1时,积分算子为紧线性算子的结论,进而验证了积分算子的共轭算子为L_([0,1])~q空间中的紧线性算子.In this paper, we investigate the properties of the integral operator with mea- surable kernel in the space of Lp[0,1]. By using the relevant knowledge of functional analysis,compactness of the integral operator is proved in the space of Lp[0,1] where p 〉 1. Further more, compactness of the conjugate operator of the integral operator in the space of Lp[0,1] is obtained.

关 键 词：积分算子 可测核 紧性 Lp[0 1]空间 

分 类 号：O177.6[理学—数学]