Atomic decompositions of weighted Hardy-Morrey spaces
type: Item
instance of: scholarly article
title: Atomic decompositions of weighted Hardy-Morrey spaces
zbMATH Open document ID: 1269.42010
author: Kwok-Pun Ho
published in: Hokkaido Mathematical Journal
publication date: 2013-04-09T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.hokmj/1362406643
review text: \textit{H. Jia} and \textit{H. Wang} [J. Math. Anal. Appl. 354, No. 1, 99--110 (2009; Zbl 1176.46032)] introduced Hardy-Morrey spaces and obtained their atomic decomposition. \textit{Y. Komori} and \textit{S. Shirai} [Math. Nachr. 282, No. 2, 219--231 (2009; Zbl 1160.42008)] introduced weighted Morrey spaces. The author considers weighted Hardy-Morrey spaces and proves their atomic decomposition. For the proof the author proves the Fefferman-Stein vector-valued maximal inequalities on Morrey spaces generated by weighted Lebesgue spaces.
Mathematics Subject Classification ID: 42B20
Mathematics Subject Classification ID: 42B30
Mathematics Subject Classification ID: 42B35
zbMATH DE Number: 6152444
zbMATH Keywords: vector-valued maximal inequality
zbMATH Keywords: Morrey-Hardy space
zbMATH Keywords: atomic decomposition
zbMATH Keywords: weight
reviewed by: Yasuo Komori-Furuya
MaRDI profile type: Publication
OpenAlex ID: W2004075869
DOI: 10.14492/HOKMJ/1362406643
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description: scientific article; zbMATH DE number 6152444