Spectra of composition operators acting on weighted Dirichlet spaces

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.

Authors

Li He
Xiaoxin Zhou

Publication Details

Journal: Bulletin of the Belgian Mathematical Society - Simon Stevin
Published: 2024-12-23
DOI: https://doi.org/10.36045/j.bbms.240726
Primary Topic: Holomorphic and Operator Theory
Type: article
Field-Weighted Citation Impact: 0.00

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article

Spectra of composition operators acting on weighted Dirichlet spaces

Li He, Xiaoxin Zhou

Dec 23, 2024

Bulletin of the Belgian Mathematical Society - Simon Stevin

Holomorphic and Operator Theory

article

Spectra of composition operators acting on weighted Dirichlet spaces

Li He, Xiaoxin Zhou

December 23, 2024article en

Abstract

Bulletin of the Belgian Mathematical Society - Simon StevinVol. 31(5)

Openalex Percentile: Top 61%

Holomorphic and Operator Theory

DOI Source OpenAlex

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Spectra of composition operators acting on weighted Dirichlet spaces — Li He, Xiaoxin Zhou · Bulletin of the Belgian Mathematical Society - Simon Stevin (2024) | TGRS Research Map | TGRS