Cowen Carl C. and Ko Eungil and Thompson Derek A. and Tian Feng: Spectra of some weighted composition operators on H2. In: Acta scientiarum mathematicarum, (82) 1-2. pp. 221-234. (2016)
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Abstract
We completely characterize the spectrum of a weighted composition operator Wy,,v on H2(D) when p has Denjoy-Wolff point a with 0 < \p'[a)\ < 1, the iterates, pn, converge uniformly to a, and ip is in H°° (the space of bounded analytic functions on D) and continuous at a. We also give bounds and some computations when |a| = 1 and p'(a) = 1 and, in addition, show that these symbols include all linear fractional p that are hyperbolic and parabolic nonautomorphisms. Finally, we use these results to eliminate possible weights ip so that Wy,,v is seminormal.
| Item Type: | Article |
|---|---|
| Journal or Publication Title: | Acta scientiarum mathematicarum |
| Date: | 2016 |
| Volume: | 82 |
| Number: | 1-2 |
| ISSN: | 0001-6969 |
| Page Range: | pp. 221-234 |
| 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/41666/ |
| DOI: | 10.14232/actasm-014-542-y |
| Uncontrolled Keywords: | Operátorok, Matematika |
| Additional Information: | Bibliogr.: p. 233-234. ; összefoglalás angol nyelven |
| Subjects: | 01. Natural sciences 01. Natural sciences > 01.01. Mathematics |
| Date Deposited: | 2017. Apr. 07. 08:48 |
| Last Modified: | 2026. Feb. 24. 08:10 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/46451 |
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