ON THE BOUNDEDNESS OF SOME CLASSES OF INTEGRAL OPERATORS IN WEIGHTED LEBESGUE SPACES

被引：0

作者：

Arendarenko, L. S. ^{[1
]}

Oinarov, R. ^{[1
]}

Persson, L. -E. ^{[2
]}

机构：

[1] Eurasian Natl Univ, Dept Fundamental & Applying Math, Fac Mech & Math, Astana, Kazakhstan

[2] Lulea Univ Technol, Dept Engn Sci & Math, SE-97187 Lulea, Sweden

来源：

EURASIAN MATHEMATICAL JOURNAL | 2012年 / 3卷 / 01期

关键词：

Hardy type inequalities; boundedness; integral operators; kernels; weighted Lebesgue spaces;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Some new Hardy-type inequalities for Hardy-Volterra integral operators are proved and discussed. The case 1 < q < p < infinity is considered and the involved kernels satisfy conditions, which are less restrictive than the usual Oinarov condition.

引用

页码：5 / 17

页数：13