Study of weighted elliptic composition operators on the unit ball of ℂN
| Autor: | Oger Lucas |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2024 |
| Předmět: | |
| Zdroj: | Concrete Operators, Vol 11, Iss 1, Pp 463-489 (2024) |
| Druh dokumentu: | article |
| ISSN: | 2299-3282 |
| DOI: | 10.1515/conop-2024-0001 |
| Popis: | We study the general properties, point spectrum and spectrum of a weighted composition operator Wm,φ{W}_{m,\varphi } with elliptic symbol φ\varphi on the unit ball BN{{\mathbb{B}}}_{N} of CN{{\mathbb{C}}}^{N}, and general weight m∈Hol(BN)m\in {\rm{Hol}}\left({{\mathbb{B}}}_{N}). We give a complete description of the spectra in the majority of cases, and we provide inclusions in general. |
| Databáze: | Directory of Open Access Journals |
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