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.

引用

页码：435 / 456

页数：22

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