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hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorHARTMANN, Andreas
dc.contributor.authorMASSANEDA, Xavier
dc.contributor.authorNICOLAU, Artur
hal.structure.identifierInstitut de Mathématiques de Toulouse UMR5219 [IMT]
dc.contributor.authorTHOMAS, Pascal J.
dc.date.accessioned2024-04-04T03:15:08Z
dc.date.available2024-04-04T03:15:08Z
dc.date.created2004
dc.date.issued2004
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/194124
dc.description.abstractEnWe consider a free interpolation problem in Nevanlinna and Smirnov classes and find a characterization of the corresponding interpolating sequences in terms of the existence of harmonic majorants of certain functions. We also consider the related problem of characterizing positive functions in the disk having a harmonic majorant. An answer is given in terms of a dual relation which involves positive measures in the disk with bounded Poisson balayage. We deduce necessary and sufficient geometric conditions, both expressed in terms of certain maximal functions.
dc.language.isoen
dc.subject.enfree interpolation
dc.subject.enSmirnov and Nevanlinna class
dc.subject.enharmonic majorants
dc.subject.enPoisson balayage
dc.title.enInterpolation in the Nevanlinna and Smirnov classes and harmonic majorants
dc.typeArticle de revue
dc.subject.halMathématiques [math]/Variables complexes [math.CV]
bordeaux.journalJ. Funct. Anal. 217
bordeaux.page1-37
bordeaux.volume217
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00128477
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00128477v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=J.%20Funct.%20Anal.%20217&rft.date=2004&rft.volume=217&rft.spage=1-37&rft.epage=1-37&rft.au=HARTMANN,%20Andreas&MASSANEDA,%20Xavier&NICOLAU,%20Artur&THOMAS,%20Pascal%20J.&rft.genre=article


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