Spectra of linear fractional composition operators on the Hardy and weighted Bergman spaces of the half-plane

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Schroderus , R 2017 , ' Spectra of linear fractional composition operators on the Hardy and weighted Bergman spaces of the half-plane ' , Journal of Mathematical Analysis and Applications , vol. 447 , no. 2 , pp. 817-833 . https://doi.org/10.1016/j.jmaa.2016.10.050

Title: Spectra of linear fractional composition operators on the Hardy and weighted Bergman spaces of the half-plane
Author: Schroderus, Riikka
Contributor organization: Department of Mathematics and Statistics
Date: 2017-03-15
Language: eng
Number of pages: 17
Belongs to series: Journal of Mathematical Analysis and Applications
ISSN: 0022-247X
DOI: https://doi.org/10.1016/j.jmaa.2016.10.050
URI: http://hdl.handle.net/10138/307444
Abstract: We compute the spectra and the essential spectra of bounded linear fractional composition operators acting on the Hardy and weighted Bergman spares of the upper half-plane. We are also able to extend the results to weighted Dirichlet spaces of the upper half-plane. (C) 2016 Elsevier Inc. All rights reserved.
Subject: Composition operator
Spectrum
Essential spectrum
Hardy space of the upper half-plane
Weighted Bergman spaces of the upper half-plane
111 Mathematics
114 Physical sciences
Peer reviewed: Yes
Usage restriction: openAccess
Self-archived version: publishedVersion


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