Boundedness of integral operators in weighted Sobolev spaces

被引：10

作者：

Oinarov, R. ^{[1
]}

机构：

[1] Eurasian Natl Univ, Astana, Kazakhstan

来源：

IZVESTIYA MATHEMATICS | 2014年 / 78卷 / 04期

关键词：

integral operators; weighted Lebesgue space; weighted Sobolev space; boundedness; LEBESGUE SPACES; INEQUALITIES; COMPACTNESS;

D O I：

10.1070/IM2014v078n04ABEH002708

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain criteria for some classes of integral operators of Volterra type to be bounded operators from one weighted Sobolev space into another weighted Sobolev space.

引用

页码：836 / 853

页数：18

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