Compact weighted composition operators on weighted Bergman spaces
In this paper, we study a weighted composition operator uCv on the weighted Bergman space L2 (dA Q ) of the unit disc O. We estimate the essential norm of this type of operator. As a consequence of this estimate, we give a function-theoretic characterization of u and y that induce a compact weighted...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2009
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| Sorozat: | Acta scientiarum mathematicarum
75 No. 3-4 |
| Kulcsszavak: | Matematika, Bergman-tér, Operátorelmélet |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/16328 |
| Tartalmi kivonat: | In this paper, we study a weighted composition operator uCv on the weighted Bergman space L2 (dA Q ) of the unit disc O. We estimate the essential norm of this type of operator. As a consequence of this estimate, we give a function-theoretic characterization of u and y that induce a compact weighted composition operator on L2(oL4Q). |
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| Terjedelem/Fizikai jellemzők: | 693-706 |
| ISSN: | 0001-6969 |