高维Hardy算子及其对偶的L^p-范数之间的尖锐不等式

IF 0.9 4区数学 Q2 MATHEMATICS Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI:10.7153/MIA-2021-24-20

Fayou Zhao, R. Liu

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引用次数: 0

摘要

。我们导出了高维Hardy算子的L p (X) -范数(1 < p <∞)与其对偶之间的双边不等式，其中底层空间X为Heisenberg群H n或欧几里德空间R n。主要结果的有趣之处在于，它把双边不等式与无量纲的尖锐常数联系起来。该方法完全依赖于旋转方法。

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Sharp inequalities between L^p-norms for the higher dimensional Hardy operator and its dual

. We derive the two-sided inequalities between L p ( X ) -norms ( 1 < p < ∞ ) of the higher dimensional Hardy operator and its dual, where the underlying space X is the Heisenberg group H n or the Euclidean space R n . The interest of main results is that it relates two-sided inequalities with sharp constants which are dimension free. The methodology is completely depending on the rotation method.

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来源期刊

Mathematical Inequalities & Applications 数学-数学

CiteScore

2.30

自引率

10.00%

发文量

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.