Dirichlet spaces with superharmonic weights and de Branges-Rovnyak spaces
| hal.structure.identifier | Département de Mathématiques | |
| dc.contributor.author | EL-FALLAH, Omar | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | KELLAY, Karim | |
| hal.structure.identifier | Département de Mathématiques et de Statistiques | |
| dc.contributor.author | KLAJA, Hubert | |
| hal.structure.identifier | Département de Mathématiques et de Statistiques | |
| dc.contributor.author | MASHREGHI, Javad | |
| hal.structure.identifier | Département de Mathématiques et de Statistiques | |
| dc.contributor.author | RANSFORD, Thomas | |
| dc.date.accessioned | 2024-04-04T03:17:41Z | |
| dc.date.available | 2024-04-04T03:17:41Z | |
| dc.date.issued | 2015-09-08 | |
| dc.identifier.issn | 1661-8254 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194328 | |
| dc.description.abstractEn | Wec onsider Dirichlet spaces with superharmonic weights. This class contains both the harmonic weights and the power weights. Our main result is a characterization of the Dirichlet spaces with superharmonic weights that can be identified as de Branges–Rovnyak spaces. As an application, we obtain the dilation inequality $D_\omega(f_r)≤ \frac{2r}{1+r} D_\omega(f) $ $(0\leq r<1)$, where $D_\omega$ denotes the Dirichlet integral with superharmonic weight $\omega$, and $f_r(z) := f(rz)$ is the r-dilation of the holomorphic function f. | |
| dc.language.iso | en | |
| dc.publisher | Springer Verlag | |
| dc.title.en | Dirichlet spaces with superharmonic weights and de Branges-Rovnyak spaces | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Variables complexes [math.CV] | |
| dc.subject.hal | Mathématiques [math]/Analyse classique [math.CA] | |
| dc.subject.hal | Mathématiques [math]/Analyse fonctionnelle [math.FA] | |
| bordeaux.journal | Complex Analysis and Operator Theory | |
| bordeaux.page | 97-107 | |
| bordeaux.volume | 10 | |
| 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-01195728 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01195728v1 | |
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