首页|Sharp Bound for the Generalized m-Linear n-Dimensional Hardy-Littlewood-Pólya Operator

Sharp Bound for the Generalized m-Linear n-Dimensional Hardy-Littlewood-Pólya Operator

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In this paper,we calculate the sharp bound for the generalized m-linear n-dimensional Hardy-Littlewood-Pólya operator on power weighted central and non-central homogeneous Morrey spaces.As an application,the sharp bound for the Hardy-Littlewood-Pólya operator on power weighted central and noncentral homo-geneous Morrey spaces is obtained.Finally,we also find the sharp bound for the Hausdorff operator on power weighted central and noncentral homogeneous Morrey spaces,which generalizes the previous results.

Sharp boundn-dimensional Hardy-Littlewood-Pólya operatorpower weightMor-rey spaceHausdorff operator

Qianjun He、Mingquan Wei、Dunyan Yan

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School of Applied Science,Beijing Information Science and Technology University,Beijing 100192,China

School of Mathematics and Statistics,Xinyang Normal University,Xinyang 464000,China

School of Mathematical Sciences,University of Chinese Academy of Sciences,Beijing 100049,China

National Natural Science Foundation of ChinaBeijing Information Science and Technology University FoundationNatural Science Foundation of Henan ProvinceNanhu Scholar Program for Young Scholars of Xinyang Normal University

118714522025031202300410338

2023

10.4208/ata.OA-2020-0039

分析、理论与应用(英文版)
南京大学

分析、理论与应用(英文版)

CSCD北大核心
影响因子：0.111
ISSN：1672-4070
年,卷(期)：2023.39(1)
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