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On weighted Hardy inequality with two-dimensional rectangular operator - extension of the E. Sawyer theorem

IF 0.9 4区 数学 Q2 MATHEMATICS
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI:10.7153/mia-2021-24-43
V. Stepanov, E. Ushakova
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引用次数: 2

Abstract

A characterization is obtained for those pairs of weights $v$ and $w$ on $\mathbb{R}^2_+$, for which the two--dimensional rectangular integration operator is bounded from a weighted Lebesgue space $L^p_v(\mathbb{R}^2_+)$ to $L^q_w(\mathbb{R}^2_+)$ for $1
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二维矩形算子的加权Hardy不等式——E. Sawyer定理的推广
得到了$\mathbb{R}^2_+$上权重对$v$和$w$的一个刻画，对于$1
本文章由计算机程序翻译，如有差异，请以英文原文为准。
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来源期刊
Mathematical Inequalities & Applications
Mathematical Inequalities & Applications 数学-数学
CiteScore
2.30
自引率
10.00%
发文量
59
审稿时长
6-12 weeks
期刊介绍： ''Mathematical Inequalities & Applications'' (''MIA'') brings together original research papers in all areas of mathematics, provided they are concerned with inequalities or their role. From time to time ''MIA'' will publish invited survey articles. Short notes with interesting results or open problems will also be accepted. ''MIA'' is published quarterly, in January, April, July, and October.
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