Weighted hyperbolic composition groups on the disc and subordinated integral operators
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.
Authors
- Jesús Oliva-Maza (ORCID: https://orcid.org/0000-0001-8546-5883)
- Luciano Abadías (ORCID: https://orcid.org/0000-0003-2453-7841)
- Jośe E. Galé
- Pedro J. Miana (ORCID: https://orcid.org/0000-0001-9430-343X)
Institutions
- Universidad de Zaragoza (ES)
- Institute of Mathematics (PL)
- Institute of Mathematical Sciences (ES)
- Polish Academy of Sciences (PL)
Publication Details
- Journal
- Advances in Mathematics
- Published
- 2024-08-20
- DOI
- https://doi.org/10.1016/j.aim.2024.109877
- Citations
- 4
- Primary Topic
- Holomorphic and Operator Theory
- Type
- article
- Field-Weighted Citation Impact
- 2.93
Funders
- Ministerio de Ciencia, Innovación y Universidades
- Ministerio de Economía y Competitividad
- Ministry of Science, ICT and Future Planning
- Universidad de Zaragoza
- Gobierno de Aragón