Year: 2023
Author: Qianjun He, Mingquan Wei, Dunyan Yan
Analysis in Theory and Applications, Vol. 39 (2023), Iss. 1 : pp. 28–41
Abstract
In this paper, we calculate the sharp bound for the generalized $m$-linear $n$-dimensional Hardy-Littlewood-Pόlya operator on power weighted central and noncentral homogeneous Morrey spaces. As an application, the sharp bound for the Hardy-Littlewood-Pόlya operator on power weighted central and noncentral homogeneous 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.OA-2020-0039
Analysis in Theory and Applications, Vol. 39 (2023), Iss. 1 : pp. 28–41
Published online: 2023-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Sharp bound $n$-dimensional Hardy-Littlewood-Pόlya operator power weight Morrey space Hausdorff operator.