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- Title
Essential spectra of weighted composition operators induced by elliptic automorphisms.
- Authors
Dong, Xing-Tang; Gao, Yong-Xin; Zhou, Ze-Hua
- Abstract
The spectrum of a weighted composition operator C ψ , φ that is induced by an automorphism has been investigated for over 50 years. However, many results are got only under the condition that the weight function ψ is continuous up to the boundary. In this paper we study the spectra and essential spectra of C ψ , φ on weighted Bergman spaces when φ is an elliptic automorphism, without the assumption that ψ is continuous up to the boundary.
- Subjects
ELLIPTIC operators; BERGMAN spaces; AUTOMORPHISMS; COMPOSITION operators
- Publication
Mathematische Zeitschrift, 2022, Vol 300, Issue 3, p2333
- ISSN
0025-5874
- Publication type
Article
- DOI
10.1007/s00209-021-02880-x