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...
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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 |
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| 100 | 1 | |a Ueki Sei-Ichiro | |
| 245 | 1 | 0 | |a Compact weighted composition operators on weighted Bergman spaces |h [elektronikus dokumentum] / |c Ueki Sei-Ichiro |
| 260 | |a Bolyai Institute, University of Szeged |b Szeged |c 2009 | ||
| 300 | |a 693-706 | ||
| 490 | 0 | |a Acta scientiarum mathematicarum |v 75 No. 3-4 | |
| 520 | 3 | |a 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). | |
| 650 | 4 | |a Természettudományok | |
| 650 | 4 | |a Matematika | |
| 695 | |a Matematika, Bergman-tér, Operátorelmélet | ||
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/16328/1/math_075_numb_003_004_693-706.pdf |z Dokumentum-elérés |