Spectra of composition operators on weighted Bergman spaces
We extend known results on the spectra of composition operators to the weighted Bergman spaces. Our results include a study of the essentialspectral radius, a determination of the spectrum when the symbol of the composition operator is univalent and non-automorphic with a fixed point in the disk, an...
Elmentve itt :
| Szerző: | |
|---|---|
| Dokumentumtípus: | Cikk |
| Megjelent: |
2019
|
| Sorozat: | Acta scientiarum mathematicarum
85 No. 3-4 |
| Kulcsszavak: | Bergman tér, funkcionál-elmélet |
| doi: | 10.14232/actasm-018-072-7 |
| Online Access: | http://acta.bibl.u-szeged.hu/66331 |
| Tartalmi kivonat: | We extend known results on the spectra of composition operators to the weighted Bergman spaces. Our results include a study of the essentialspectral radius, a determination of the spectrum when the symbol of the composition operator is univalent and non-automorphic with a fixed point in the disk, and an affirmative answer to a conjecture of MacCluer and Saxe. |
|---|---|
| Terjedelem/Fizikai jellemzők: | 539-560 |
| ISSN: | 2064-8316 |