On zero sets in the Dirichlet space
hal.structure.identifier | Laboratoire d'Analyse, Topologie, Probabilités [LATP] | |
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 | MASHREGHI, Javad | |
dc.date.accessioned | 2024-04-04T02:27:14Z | |
dc.date.available | 2024-04-04T02:27:14Z | |
dc.date.created | 2011-02-28 | |
dc.date.issued | 2011-02-28 | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190016 | |
dc.description.abstractEn | We study the zeros sets of functions in the Dirichlet space. Using Carleson formula for Dirichlet integral, we obtain some new families of zero sets. We also show that any closed subset of $E \subset \TT$ with logarithmic capacity zero is the accumulation points of the zeros of a function in the Dirichlet space. The zeros satisfy a growth restriction which depends on $E$. | |
dc.description.sponsorship | Dynamique des opérateurs - ANR-07-BLAN-0249 | |
dc.language.iso | en | |
dc.subject.en | Zero sets | |
dc.subject.en | Dirichlet space | |
dc.subject.en | logarithmic capacity | |
dc.title.en | On zero sets in the Dirichlet space | |
dc.type | Article de revue | |
dc.identifier.doi | 10.1007/s12220-011-9229-5 | |
dc.subject.hal | Mathématiques [math]/Analyse classique [math.CA] | |
dc.subject.hal | Mathématiques [math]/Variables complexes [math.CV] | |
dc.identifier.arxiv | 1102.5596 | |
bordeaux.journal | Journal of Geometric Analysis | |
bordeaux.page | 1055-1070 | |
bordeaux.volume | 22 | |
bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
bordeaux.issue | 4 | |
bordeaux.institution | Université de Bordeaux | |
bordeaux.institution | Bordeaux INP | |
bordeaux.institution | CNRS | |
bordeaux.peerReviewed | oui | |
hal.identifier | hal-00570206 | |
hal.version | 1 | |
hal.popular | non | |
hal.audience | Internationale | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-00570206v1 | |
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