Havin-Mazya type uniqueness theorem for Dirichlet spaces
| hal.structure.identifier | Laboratoire Analyse et Applications URAC/03 [LAA] | |
| dc.contributor.author | BAHAJJI-EL IDRISSI, Hafid | |
| hal.structure.identifier | Laboratoire Analyse et Applications URAC/03 [LAA] | |
| dc.contributor.author | EL-FALLAH, Omar | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | KELLAY, Karim | |
| dc.date | 2019 | |
| dc.date.accessioned | 2024-04-04T02:58:11Z | |
| dc.date.available | 2024-04-04T02:58:11Z | |
| dc.date.issued | 2019 | |
| dc.identifier.issn | 0007-4497 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192635 | |
| dc.description.abstractEn | Let $\mu$ be a positive finite Borel measure on the unit circle. The associated Dirichlet space $\mathcal{D}(\mu)$ consists of holomorphic functions on the unit disc whose derivatives are square integrable when weighted against the Poisson integral of $\mu$. We give a sufficient condition on a Borel subset $E$ of the unit circle which ensures that $E$ is a uniqueness set for $\mathcal{D}(\mu)$. {We also give somes examples of positive Borel measures $\mu$ and uniqueness sets for $\mathcal{D}(\mu)$.} | |
| dc.language.iso | en | |
| dc.publisher | Elsevier | |
| dc.subject.en | uniqueness set | |
| dc.subject.en | weighted Dirichlet spaces | |
| dc.subject.en | capacity | |
| dc.title.en | Havin-Mazya type uniqueness theorem for Dirichlet spaces | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Analyse classique [math.CA] | |
| dc.subject.hal | Mathématiques [math]/Variables complexes [math.CV] | |
| dc.subject.hal | Mathématiques [math]/Analyse fonctionnelle [math.FA] | |
| dc.identifier.arxiv | 1912.09988 | |
| bordeaux.journal | Bulletin des Sciences Mathématiques | |
| 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-01376878 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01376878v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Bulletin%20des%20Sciences%20Math%C3%A9matiques&rft.date=2019&rft.eissn=0007-4497&rft.issn=0007-4497&rft.au=BAHAJJI-EL%20IDRISSI,%20Hafid&EL-FALLAH,%20Omar&KELLAY,%20Karim&rft.genre=article |
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