Weighted Norm Inequalities for Convolution and Riesz Potential

被引：0
|
作者：
Erlan Nursultanov
Sergey Tikhonov
机构：
[1] Lomonosov Moscow State University (Kazakh Branch) and Gumilyov Eurasian National University,
[2] ICREA and Centre de Recerca Matemàtica (CRM),undefined
[3] Universitat Autònoma de Barcelona,undefined
来源：
Potential Analysis | 2015年 / 42卷
关键词：
Convolution; Riesz potential operator; Weights; Lorentz spaces; O’Neil-type inequalities; Primary 31C15; Secondary 44A35, 46E30;
D O I：
暂无
中图分类号：
学科分类号：
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：21
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