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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:447

Article

Schroderus, Riikka¹ 

[1] Univ Helsinki, Dept Math & Stat, Box 68, FI-00014 Helsinki, Finland

关键词: Composition operator;    Spectrum;    Essential spectrum;    Hardy space of the upper half-plane;    Weighted Bergman spaces of the upper half-plane;   

DOI  :  10.1016/j.jmaa.2016.10.050

来源: Elsevier

【 摘 要 】

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.

【 授权许可】

Free