Gupta Anuradha and Singh Shivam Kumar: Toeplitz type operators on the derivative Hardy space S2(D). In: Acta scientiarum mathematicarum, (85) 3-4. pp. 473-493. (2019)
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Abstract
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.
| Item Type: | Article |
|---|---|
| Journal or Publication Title: | Acta scientiarum mathematicarum |
| Date: | 2019 |
| Volume: | 85 |
| Number: | 3-4 |
| ISSN: | 2064-8316 |
| Page Range: | pp. 473-493 |
| Related URLs: | http://acta.bibl.u-szeged.hu/66425/ |
| DOI: | 10.14232/actasm-018-805-0 |
| Uncontrolled Keywords: | Toeplitz operátor - többszörös operátorok, derivatív Hardy tér |
| Additional Information: | Bibliogr.: p. 492-493. |
| Date Deposited: | 2020. Apr. 23. 12:27 |
| Last Modified: | 2021. Mar. 25. 15:34 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/66327 |
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