Toeplitz type operators on the derivative Hardy space S2(D)
A Toeplitz type operator Tφ with co-analytic symbol φ which canbe seen as the adjoint of the multiplication operator on S2(D)is introducedand studied on the derivative Hardy space S2(D). The characterizations for the operator Tφ to be normal, self-adjoint and isometric on S2(D)have been obtained. In...
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| Dokumentumtípus: | Cikk |
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2019
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| Sorozat: | Acta scientiarum mathematicarum
85 No. 3-4 |
| Kulcsszavak: | Toeplitz operátor - többszörös operátorok, derivatív Hardy tér |
| doi: | 10.14232/actasm-018-805-0 |
| Online Access: | http://acta.bibl.u-szeged.hu/66327 |
| Tartalmi kivonat: | A Toeplitz type operator Tφ with co-analytic symbol φ which canbe seen as the adjoint of the multiplication operator on S2(D)is introducedand studied on the derivative Hardy space S2(D). The characterizations for the operator Tφ to be normal, self-adjoint and isometric on S2(D)have been obtained. In addition, it has been shown that the operator T ̄zk for a fixednon-negative integer k is a Fredholm operator and its point spectrum is the closed unit disk. |
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| Terjedelem/Fizikai jellemzők: | 473-493 |
| ISSN: | 2064-8316 |