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

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 obtain...

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Bibliographic Details
Published inAIMS mathematics Vol. 8; no. 9; pp. 21022 - 21032
Main Authors Hang, Zhongci, Yan, Dunyan, Li, Xiang
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2023
Subjects
dual operator
hardy operator
heisenberg group
mixed radial-angular space
weighted cesàro operator
weighted hardy operator
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Summary: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.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.20231070