Čučković Željko and Le Trieu: Adjoints of linear fractional composition operators on weighted Hardy spaces. In: Acta scientiarum mathematicarum, (82) 3-4. pp. 651-662. (2016)
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Abstract
It is well known that on the Hardy space H2 (B) or weighted Bergman space A2 (D) over the unit disk, the adjoint of a linear fractional composition operator equals the product of a composition operator and two Toeplitz operators. On 52 (B), the space of analytic functions on the disk whose first derivatives belong to Xf2 (B), Heller showed that a similar formula holds modulo the ideal of compact operators. In this paper we investigate what the situation is like on other weighted Hardy spaces.
| Item Type: | Article |
|---|---|
| Journal or Publication Title: | Acta scientiarum mathematicarum |
| Date: | 2016 |
| Volume: | 82 |
| Number: | 3-4 |
| ISBN: | 0001-6969 |
| Page Range: | pp. 651-662 |
| Language: | English |
| Publisher: | Bolyai Institute, University of Szeged |
| Place of Publication: | Szeged |
| Official URL: | http://www.acta.hu |
| Related URLs: | http://acta.bibl.u-szeged.hu/45435/ |
| DOI: | 10.14232/actasm-015-801-z |
| Uncontrolled Keywords: | Hilbert tér, Matematika |
| Additional Information: | Bibliogr.: 662. p. ; összefoglalás angol nyelven |
| Subjects: | 01. Natural sciences 01. Natural sciences > 01.01. Mathematics |
| Date Deposited: | 2017. Apr. 07. 11:50 |
| Last Modified: | 2026. Feb. 24. 11:11 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/46332 |
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