Multiplication operators on S2(D)
In this paper, we study the multiplication operators on S2 , the space of analytic functions on the open unit disk ID whose first derivative is in H2 Specifically, we characterize the bounded and the compact multiplication operators, establish estimates on the operator norm, and determine the spectr...
Elmentve itt :
| Szerzők: | |
|---|---|
| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2015
|
| Sorozat: | Acta scientiarum mathematicarum
81 No. 3-4 |
| Kulcsszavak: | Differenciálegyenlet |
| Tárgyszavak: | |
| mtmt: | http://dx.doi.org/10.14232/actasm-014-275-9 |
| Online Access: | http://acta.bibl.u-szeged.hu/36528 |
| Tartalmi kivonat: | In this paper, we study the multiplication operators on S2 , the space of analytic functions on the open unit disk ID whose first derivative is in H2 Specifically, we characterize the bounded and the compact multiplication operators, establish estimates on the operator norm, and determine the spectrum. Finally, we prove that the isometric multiplication operators are precisely those induced by a constant function of modulus one. |
|---|---|
| Terjedelem/Fizikai jellemzők: | 575-587 |
| ISSN: | 0001-6969 |