December 2024 Spectra of composition operators acting on weighted Dirichlet spaces
Li He, Xiaoxin Zhou
Bull. Belg. Math. Soc. Simon Stevin 31(5): 660-677 (December 2024). DOI: 10.36045/j.bbms.240726

Abstract

We investigate the spectra of composition operators acting on weighted Dirichlet spaces induced by non-automorphic analytic self-maps with fixed points in the unit disk. We still provide more detailed characterizations of the spectra of composition operators induced by univalent symbols and monomial symbols.

Citation

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Li He. Xiaoxin Zhou. "Spectra of composition operators acting on weighted Dirichlet spaces." Bull. Belg. Math. Soc. Simon Stevin 31 (5) 660 - 677, December 2024. https://doi.org/10.36045/j.bbms.240726

Information

Published: December 2024
First available in Project Euclid: 23 December 2024

Digital Object Identifier: 10.36045/j.bbms.240726

Subjects:
Primary: 32K05
Secondary: 47A25 , 47B33

Keywords: Composition operator , Spectral , Weighted Dirichlet space

Rights: Copyright © 2024 The Belgian Mathematical Society

Vol.31 • No. 5 • December 2024
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