Essential normality of automorphic composition operators
We first characterize those composition operators that are essentially normal on the weighted Bergman space A2(D) for any real s > — 1, where induced symbols are automorphisms of the unit disk D. Using the same technique, we investigate automorphic composition operators on the Hardy space H2(Bn)...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2016
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| Sorozat: | Acta scientiarum mathematicarum
82 No. 1-2 |
| Kulcsszavak: | Kompozíciós operátor, esszenciális normalitás, Matematika |
| Tárgyszavak: | |
| doi: | 10.14232/actasm-014-060-x |
| Online Access: | http://acta.bibl.u-szeged.hu/40278 |
| Tartalmi kivonat: | We first characterize those composition operators that are essentially normal on the weighted Bergman space A2(D) for any real s > — 1, where induced symbols are automorphisms of the unit disk D. Using the same technique, we investigate automorphic composition operators on the Hardy space H2(Bn) and the weighted Bergman spaces A2(Bn) (s > —1). Furthermore, we give some composition operators induced by linear fractional self-maps of the unit ball Bn that are not essentially normal. |
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| Terjedelem/Fizikai jellemzők: | 65-100 |
| ISSN: | 0001-6969 |