Products of Toeplitz operators on the Bergman spaces $A\sp 2\sb \alpha$.
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | STROUSE, Elizabeth | |
| hal.structure.identifier | University of Glasgow | |
| dc.contributor.author | POTT, Sandra | |
| dc.date.accessioned | 2024-04-04T02:40:01Z | |
| dc.date.available | 2024-04-04T02:40:01Z | |
| dc.date.issued | 2007 | |
| dc.identifier.issn | 1061-0022 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191029 | |
| dc.description.abstractEn | We give a sufficient and a necessary condition for the product of Toeplitz operators $ T^\alpha_f T^\alpha_{\bar g}$, with $ f,g$ analytic, to be bounded on the weighted Bergman space $ L^2_a(\mathbb{D},(1-\vert z\vert^2)^\alpha dA)$. We also show that the only compact product of weighted Toeplitz operators is the trivial one. | |
| dc.language.iso | en | |
| dc.publisher | American Mathematical Society | |
| dc.subject.en | Weighted Bergman spaces | |
| dc.subject.en | Toeplitz operators | |
| dc.subject.en | reproducing kernel thesis | |
| dc.title.en | Products of Toeplitz operators on the Bergman spaces $A\sp 2\sb \alpha$. | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Analyse fonctionnelle [math.FA] | |
| bordeaux.journal | St. Petersburg Mathematical Journal | |
| bordeaux.page | 105-118 | |
| bordeaux.volume | 18 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 1 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00382489 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00382489v1 | |
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