Weighted hyperbolic composition groups on the disc and subordinated integral operators

Abadias, Luciano (Universidad de Zaragoza) ; Galé, José E. (Universidad de Zaragoza) ; Miana, Pedro J. (Universidad de Zaragoza) ; Oliva-Maza, Jesús (Universidad de Zaragoza)

Resumen: We provide the spectral picture of groups of weighted composition operators, induced by the hyperbolic group of automorphisms of the unit disc, acting on holomorphic functions. Some questions about the spectrum of single weighted hyperbolic composition operators are discussed, and results related with them in the literature are completed or partly extended. Also, our results on the weighted hyperbolic group are applied to the spectral study of two families of multiparameter weighted averaging operators, which generalize both Siskakis' operator and the reduced Hilbert matrix operator.

Idioma: Inglés

DOI: 10.1016/j.aim.2024.109877

Año: 2024

Publicado en: Advances in Mathematics 455 (2024), 109877 [56 pp.]
ISSN: 0001-8708

Originalmente disponible en: Texto completo de la revista

Financiación: info:eu-repo/grantAgreement/ES/DGA/E26-17R
Financiación: info:eu-repo/grantAgreement/ES/DGA/E48-23R
Financiación: info:eu-repo/grantAgreement/ES/MICINN/PID2019-10579GB-I00
Financiación: info:eu-repo/grantAgreement/ES/MCINN/PID2022-137294NB-I00
Financiación: info:eu-repo/grantAgreement/ES/MINECO/BES-2017-081552

Tipo y forma: Article (Published version)

Área (Departamento): Área Análisis Matemático (Dpto. Matemáticas)