Powers and roots of Toeplitz operators
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | ISSAM, Louhichi | |
| dc.date.accessioned | 2024-04-04T02:38:18Z | |
| dc.date.available | 2024-04-04T02:38:18Z | |
| dc.date.created | 2006-11-29 | |
| dc.date.issued | 2006-11-29 | |
| dc.identifier.issn | 0002-9939 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190864 | |
| dc.description.abstractEn | We study the commutativity of two Toeplitz operators whose symbols are quasihomogeneous functions. We give a relationship between this commutativity and the roots (or powers) of the Toeplitz operators. We use this to characterize Toeplitz operators with symbols in $ L^{\infty}(\mathbb{D})$ which commute with Toeplitz operators whose symbols are of the form $ e^{ip\theta}r^m$. | |
| dc.language.iso | en | |
| dc.publisher | American Mathematical Society | |
| dc.subject.en | Toeplitz operators | |
| dc.subject.en | Bergman space | |
| dc.title.en | Powers and roots of Toeplitz operators | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Analyse fonctionnelle [math.FA] | |
| bordeaux.journal | Proceedings of the American Mathematical Society | |
| bordeaux.page | 1465-1475 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00387077 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00387077v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Proceedings%20of%20the%20American%20Mathematical%20Society&rft.date=2006-11-29&rft.spage=1465-1475&rft.epage=1465-1475&rft.eissn=0002-9939&rft.issn=0002-9939&rft.au=ISSAM,%20Louhichi&rft.genre=article |
Files in this item
| Files | Size | Format | View |
|---|---|---|---|
|
There are no files associated with this item. |
|||