Norms and spectral radii of composition operators acting on the Dirichlet space
type: Item
instance of: scholarly article
title: Norms and spectral radii of composition operators acting on the Dirichlet space
zbMATH Open document ID: 1071.47028
author: María J. Martín
author: Dragan Vukotić
published in: Journal of Mathematical Analysis and Applications
publication date: 2005-04-18T00:00:00Z
review text: The authors obtain new upper bounds on the norms of univalently induced composition operators acting on the Dirichlet space and they compute explicity the norms for univalent symbols whose range is the disk minus a set of measure zero. As an application, they show that the spectral radius of every univalently induced composition operator on the Dirichlet space is equal to one.
Mathematics Subject Classification ID: 47B33
Mathematics Subject Classification ID: 47A30
Mathematics Subject Classification ID: 46E20
Mathematics Subject Classification ID: 30H05
zbMATH DE Number: 2157551
zbMATH Keywords: Dirichlet space
zbMATH Keywords: composition operator
zbMATH Keywords: operator norm
zbMATH Keywords: spectral radius
zbMATH Keywords: hyperbolic metric
reviewed by: Bahmann Yousefi
MaRDI profile type: Publication
full work available at URL: j.jmaa.2004.09.005
OpenAlex ID: W2012552499
cites work: Q3681112
cites work: Q4755637
cites work: Norms of linear-fractional composition operators
cites work: Linear fractional composition operators on \(H^ 2\)
cites work: Q4888816
cites work: Exceptional sets and Hilbert--Schmidt composition operators.
cites work: Adjoints of linear fractional composition operators on the Dirichlet space
cites work: Q3159105
cites work: The norm of a composition operator with linear symbol acting on the Dirichlet space
cites work: Relating composition operators on different weighted Hardy spaces
cites work: Q4370877
cites work: Bounded composition operators with closed range on the Dirichlet space
cites work: Angular Derivatives and Compact Composition Operators on the Hardy and Bergman Spaces
cites work: Q4249053
cites work: Composition Operators
cites work: Composition operators and classical function theory
cites work: What do composition operators know about inner functions?
cites work: On norms of composition operators acting on Bergman spaces.
DOI: 10.1016/J.JMAA.2004.09.005
description: scientific article; zbMATH DE number 2157551