Weighted Norm Inequalities for Convolution and Riesz Potential

被引：10
|
作者：
Nursultanov, Erlan [1 ,2 ]
Tikhonov, Sergey [3 ,4 ,5 ]
机构：
[1] Moscow MV Lomonosov State Univ, Kazakh Branch, Astana 010010, Kazakhstan
[2] Gumilyov Eurasian Natl Univ, Astana 010010, Kazakhstan
[3] ICREA, E-08193 Barcelona, Spain
[4] CRM, E-08193 Barcelona, Spain
[5] Univ Autonoma Barcelona, E-08193 Barcelona, Spain
来源：
POTENTIAL ANALYSIS | 2015年 / 42卷 / 02期
关键词：
Convolution; Riesz potential operator; Weights; Lorentz spaces; O'Neil-type inequalities; FRACTIONAL INTEGRALS; SPACES; OPERATORS; THEOREMS;
D O I：
10.1007/s11118-014-9440-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we prove analogues of O'Neil's inequalities for the convolution in the weighted Lebesgue spaces. We also establish the weighted two-sided norm inequalities for the potential operator.
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页码：435 / 456
页数：22
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