Closed-range composition operators on \(\mathbb A^2\)
type: Item
instance of: scholarly article
title: Closed-range composition operators on \(\mathbb A^2\)
zbMATH Open document ID: 1191.47030
author: John R. Akeroyd
author: Pratibha Ghatage
published in: Illinois Journal of Mathematics
publication date: 2009-10-15T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.ijm/1248355348
review text: The main result of the paper under review is a necessary and sufficient condition for a composition operator on the Bergman class to have closed range. This characterization is applied to the special case of univalent functions. The authors also consider the case of inner functions.
reviewed by: Vladimir V. Peller
Mathematics Subject Classification ID: 47B33
Mathematics Subject Classification ID: 30H20
zbMATH DE Number: 5615652
zbMATH Keywords: composition operators
zbMATH Keywords: Bergman space
zbMATH Keywords: inner functions
zbMATH Keywords: Blaschke products
MaRDI profile type: Publication
cites work: Q5618011
cites work: Bounded Analytic Functions
cites work: Interpolating sequences and invariant subspaces of given index in the Bergman spaces.
cites work: Q4370877
cites work: Inequalities on Bergman spaces
cites work: Angular Derivatives and Compact Composition Operators on the Hardy and Bergman Spaces
cites work: Composition Operators
cites work: Composition operators and classical function theory
cites work: Composition Operators with Closed Range
description: scientific article; zbMATH DE number 5615652