Compact composition operators on \(H^ p(B_ N)\)
type: Item
instance of: scholarly article
title: Compact composition operators on \(H^ p(B_ N)\)
zbMATH Open document ID: 0585.47022
author: Barbara D. MacCluer
published in: Michigan Mathematical Journal
publication date: 1985-01-01T00:00:00Z
review text: Let \(B_ N\) be the open unit ball in \(C^ N\) and let \(\Phi:B_ N\to B_ N\) be a holomorphic self-map of \(B_ N\). For a holomorphic function f on \(B_ N\) denote the composition \(f\circ \phi\) by \(C_{\phi}(f)\). In the paper under review the boundedness and respectively the compactness of the operator \(C_{\phi}\), called the composition operators induced by \(\phi\), on some Hardy space \(H_ p(B_ N)\), \(0<p<\infty\), are investigated.
Mathematics Subject Classification ID: 47B38
Mathematics Subject Classification ID: 47B06
Mathematics Subject Classification ID: 46J15
zbMATH DE Number: 3937871
zbMATH Keywords: holomorphic self-map
zbMATH Keywords: composition
zbMATH Keywords: boundedness
zbMATH Keywords: compactness
zbMATH Keywords: composition operators
zbMATH Keywords: Hardy space
reviewed by: Vakhtang V. Kvaratskhelia
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1307/mmj/1029003191
OpenAlex ID: W1970525820
DOI: 10.1307/MMJ/1029003191
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description: scientific article; zbMATH DE number 3937871