Univalent interpolation in Besov spaces and superposition into Bergman spaces
type: Item
instance of: scholarly article
title: Univalent interpolation in Besov spaces and superposition into Bergman spaces
zbMATH Open document ID: 1165.47042
author: S. M. Buckley
author: Dragan Vukotić
published in: Potential Analysis
publication date: 2008-07-30T00:00:00Z
full work available at URL: BuckleyUnival.pdf
review text: The paper deals with the superposition operators from an analytic Besov space or the little Bloch space into a Bergman space. The authors characterize the considered superposition operators in terms of the order and type of the symbol. They also derive the conditions that provide continuity or boundedness of the operators and investigate their Montel compactness. In addition, the authors prove new non-centered Trudinger--Moser inequalities and solve the problem of interpolation by univalent functions in analytic Besov spaces.
reviewed by: Michael I. Gil'
Mathematics Subject Classification ID: 47H30
Mathematics Subject Classification ID: 31C25
Mathematics Subject Classification ID: 30H05
zbMATH DE Number: 5306214
zbMATH Keywords: superposition operator
zbMATH Keywords: Trudinger-Moser inequalities
zbMATH Keywords: analytic Besov spaces
zbMATH Keywords: Bergman spaces
zbMATH Keywords: little Bloch space
zbMATH Keywords: Montel compactness
zbMATH Keywords: univalent interpolation
zbMATH Keywords: entire functions
MaRDI profile type: Publication
OpenAlex ID: W1982544214
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DOI: 10.1007/S11118-008-9081-9
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description: scientific article; zbMATH DE number 5306214