Boundedness and compactness of Volterra type integral operators

被引：22

作者：

Oinarov, R. ^{[1
]}

机构：

[1] Gumilev Eurasian Natl Univ, Astana, Kazakhstan

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2007年 / 48卷 / 05期

关键词：

integral operator; Volterra type integral operator; operator of fractional integration; boundedness; compactness;

D O I：

10.1007/s11202-007-0091-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce some nested classes of Volterra type integral operators. For the operators of these classes we establish criteria for boundedness and compactness in Lebesgue spaces.

引用

页码：884 / 896

页数：13

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