Sharp bounds on higher-dimensional product spaces for Hardy-type operators on Heisenberg group

In this paper, we study sharp bound on higher-dimensional Lebesgue product space for Hardy operator on Heisenberg group, the constants of sharp bounds are obtained. In addition, we also give the boundedness for weighted Hardy operator and weighted Cesaro operator

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Bibliographic Details
Main Authors Hang, Zhongci, Liu, Wenfeng, Li, Xiang, Yan, Dunyan
Format Journal Article
LanguageEnglish
Published 15.05.2023
Subjects
Mathematics - Classical Analysis and ODEs
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Summary:In this paper, we study sharp bound on higher-dimensional Lebesgue product space for Hardy operator on Heisenberg group, the constants of sharp bounds are obtained. In addition, we also give the boundedness for weighted Hardy operator and weighted Cesaro operator
DOI:10.48550/arxiv.2305.08679