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Research Article | Open Access

Mixed radial-angular bounds for Hardy-type operators on Heisenberg group

Zhongci Hang1, Dunyan Yan2, Xiang Li1( )
School of Science, Shandong Jianzhu University, Jinan, 250101, China
School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, China
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Abstract

In this paper, we study n-dimensional Hardy operator and its dual in mixed radial-angular spaces on Heisenberg group and obtain their sharp bounds by using the rotation method. Furthermore, the sharp bounds of n-dimensional weighted Hardy operator and weighted Cesàro operator are also obtained.

Keywords

Hardy operatordual operatorweighted Hardy operatorweighted Cesàro operatormixed radial-angular spaceHeisenberg group
CLC number: Primary 42B25; Secondary 42B20, 47H60, 47B47

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AIMS Mathematics
Volume 8 Issue 9,
September 2023
Pages 21022-21032
DOI: 10.3934/math.20231070

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Cite this article:
Hang Z, Yan D, Li X. Mixed radial-angular bounds for Hardy-type operators on Heisenberg group. AIMS Mathematics, 2023, 8(9): 21022-21032. https://doi.org/10.3934/math.20231070

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Received: 28 April 2023
Revised: 19 June 2023
Accepted: 20 June 2023
Published: 15 September 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)