Multilinear Hausdorff operators on weighted Herz and Morrey-Herz spaces with variable exponent
type: Item
instance of: scholarly article
title: Multilinear Hausdorff operators on weighted Herz and Morrey-Herz spaces with variable exponent
zbMATH Open document ID: 1506.47094
author: Dongli Liu
author: Jian Zhao
published in: Journal of Pseudo-Differential Operators and Applications
publication date: 2022-02-02T00:00:00Z
review text: Using the method of block decomposition, the authors show the boundedness of Hausdorff operators on Herz spaces with variable exponent and the boundedness of multilinear Hausdorff operators on the product of weighted Herz and Morrey-Herz spaces with variable exponent. These results extend some results in [\textit{N. M. Chuong} et al., Integral Transforms Spec. Funct. 31, No. 1, 62--86 (2020; Zbl 1427.42025)] to the Heisenberg group with some modifications.
reviewed by: Elhadj Dahia
Mathematics Subject Classification ID: 47H60
Mathematics Subject Classification ID: 42B35
zbMATH DE Number: 7468374
zbMATH Keywords: Hausdorff operators
zbMATH Keywords: weighted Herz and Morrey-Herz spaces with variable exponent
zbMATH Keywords: Heisenberg group
MaRDI profile type: Publication
full work available at URL: s11868-021-00437-4
OpenAlex ID: W4205829005
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DOI: 10.1007/S11868-021-00437-4
description: scientific article; zbMATH DE number 7468374