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.
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页码：5 / 17
页数：13
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