Continuous inclusions and Bergman type operators in \(n\)-harmonic mixed norm spaces on the polydisc
type: Item
instance of: scholarly article
title: Continuous inclusions and Bergman type operators in \(n\)-harmonic mixed norm spaces on the polydisc
zbMATH Open document ID: 1054.32019
published in: Journal of Mathematical Analysis and Applications
publication date: 2004-06-15T00:00:00Z
review text: We quote the author's abstract: We study anisotropic mixed norm spaces of \(n\)-harmonic functions in the unit polydisc of \(\mathbb{C}^{n}\). Bergman type reproducing integral formulas are established by means of fractional derivatives and some continuous inclusions. It gives us a tool to construct corresponding projections and related operators and prove their boundedness on the mixed norm and Besov spaces.
Mathematics Subject Classification ID: 32U05
Mathematics Subject Classification ID: 31C10
zbMATH DE Number: 2075655
zbMATH Keywords: \(n\)-harmonic functions
zbMATH Keywords: anisotropic mixed norm spaces
zbMATH Keywords: Besov space
author: Karen Avetisyan
reviewed by: Emil J. Straube
MaRDI profile type: Publication
full work available at URL: j.jmaa.2003.11.039
OpenAlex ID: W1966050119
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DOI: 10.1016/J.JMAA.2003.11.039
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description: scientific article; zbMATH DE number 2075655