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hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorHARTMANN, Andreas
dc.date.accessioned2024-04-04T02:28:38Z
dc.date.available2024-04-04T02:28:38Z
dc.date.created2010
dc.date.issued2012
dc.identifier.issn0002-9939
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/190110
dc.description.abstractEnGiven a sequence of points in the unit disk, a well known result due to Carleson states that if given any point of the sequence it is possible to interpolate the value one in that point and zero in all the other points of the sequence, with uniform control of the norm in the Hardy space of bounded analytic functions on the disk, then the sequence is an interpolating sequence (i.e.\ every bounded sequence of values can be interpolated by functions in the Hardy space). It turns out that such a result holds in other spaces. In this short note we would like to show that for a given sequence it is sufficient to find just {\bf one} function interpolating suitably zeros and ones to deduce interpolation in the Hardy space.
dc.description.sponsorship/ - ANR-09-BLAN-0058
dc.language.isoen
dc.publisherAmerican Mathematical Society
dc.subject.enHardy spaces
dc.subject.enInterpolating sequences
dc.subject.enWeak interpolation
dc.title.enExtremely weak interpolation in $H^{\infty}$
dc.typeArticle de revue
dc.subject.halMathématiques [math]/Variables complexes [math.CV]
dc.identifier.arxiv1010.3493
bordeaux.journalProceedings of the American Mathematical Society
bordeaux.page2411-2416
bordeaux.volume140
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00526930
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00526930v1
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