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.
出处
《数学的实践与认识》
北大核心
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)
关键词
积分算子
可测核
紧性
Lp[0
1]空间
integral operator
measurable kernel
compactness
the space of Lp[0,1]
