Adjoints of linear fractional composition operators on weighted Hardy spaces
It is well known that on the Hardy space H2 (B) or weighted Bergman space A2 (D) over the unit disk, the adjoint of a linear fractional composition operator equals the product of a composition operator and two Toeplitz operators. On 52 (B), the space of analytic functions on the disk whose first de...
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. 3-4 |
| Kulcsszavak: | Hilbert tér, Matematika |
| Tárgyszavak: | |
| doi: | 10.14232/actasm-015-801-z |
| Online Access: | http://acta.bibl.u-szeged.hu/46332 |
| Tartalmi kivonat: | It is well known that on the Hardy space H2 (B) or weighted Bergman space A2 (D) over the unit disk, the adjoint of a linear fractional composition operator equals the product of a composition operator and two Toeplitz operators. On 52 (B), the space of analytic functions on the disk whose first derivatives belong to Xf2 (B), Heller showed that a similar formula holds modulo the ideal of compact operators. In this paper we investigate what the situation is like on other weighted Hardy spaces. |
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| Terjedelem/Fizikai jellemzők: | 651-662 |
| ISBN: | 0001-6969 |