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On zero sets in the Dirichlet space

hal.structure.identifierLaboratoire d'Analyse, Topologie, Probabilités [LATP]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorKELLAY, Karim
hal.structure.identifierDépartement de Mathématiques et de Statistiques
dc.contributor.authorMASHREGHI, Javad
dc.date.accessioned2024-04-04T02:27:14Z
dc.date.available2024-04-04T02:27:14Z
dc.date.created2011-02-28
dc.date.issued2011-02-28
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/190016
dc.description.abstractEnWe 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.sponsorshipDynamique des opérateurs - ANR-07-BLAN-0249
dc.language.isoen
dc.subject.enZero sets
dc.subject.enDirichlet space
dc.subject.enlogarithmic capacity
dc.title.enOn zero sets in the Dirichlet space
dc.typeArticle de revue
dc.identifier.doi10.1007/s12220-011-9229-5
dc.subject.halMathématiques [math]/Analyse classique [math.CA]
dc.subject.halMathématiques [math]/Variables complexes [math.CV]
dc.identifier.arxiv1102.5596
bordeaux.journalJournal of Geometric Analysis
bordeaux.page1055-1070
bordeaux.volume22
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue4
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00570206
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00570206v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Geometric%20Analysis&rft.date=2011-02-28&rft.volume=22&rft.issue=4&rft.spage=1055-1070&rft.epage=1055-1070&rft.au=KELLAY,%20Karim&MASHREGHI,%20Javad&rft.genre=article


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