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hal.structure.identifierLaboratoire Paul Painlevé - UMR 8524 [LPP]
dc.contributor.authorFRICAIN, Emmanuel
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorHARTMANN, Andreas
hal.structure.identifier"Simion Stoilow" Institute of Mathematics [IMAR]
dc.contributor.authorTIMOTIN, Dan
hal.structure.identifierDepartment of Mathematics and Statistics
dc.contributor.authorROSS, William
dc.date.accessioned2024-04-04T02:41:35Z
dc.date.available2024-04-04T02:41:35Z
dc.date.created2022
dc.date.issued2023
dc.identifier.issn1050-6926
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/191164
dc.description.abstractEnIn this paper, we obtain estimates for the solutions to the classical Bézout equation that are analogous to Carleson's solution to the corona theorem for the bounded analytic functions on the open unit disk. As an application, we extend some results of Luo and obtain a corona theorem for the multipliers of a class of de Branges--Rovnyak spaces.
dc.description.sponsorshipCentre Européen pour les Mathématiques, la Physique et leurs Interactions - ANR-11-LABX-0007
dc.language.isoen
dc.publisherSpringer
dc.subject.enBézout's equation
dc.subject.ende Branges--Rovnyak spaces
dc.subject.encorona theorem
dc.title.enSharp estimates of the solutions to Bézout's polynomial equation and a corona theorem
dc.typeArticle de revue
dc.subject.halMathématiques [math]/Variables complexes [math.CV]
dc.subject.halMathématiques [math]/Analyse classique [math.CA]
dc.identifier.arxiv2205.00740
bordeaux.journalThe Journal of Geometric Analysis
bordeaux.volume33
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue8
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-03655845
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-03655845v1
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