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SAMPLING CONSTANTS IN GENERALIZED FOCK SPACES

hal.structure.identifierIUFP, Université de Ségou
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorKONATE, S
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorORSONI, Marcu-Antone
dc.date.accessioned2024-04-04T02:34:21Z
dc.date.available2024-04-04T02:34:21Z
dc.date.created2023-04-29
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/190544
dc.description.abstractEnWe prove several results related to a Logvinenko-Sereda type theorem on dominating sets for generalized doubling Fock spaces. In particular, we give a precise polynomial dependence of the sampling constant on the relative density parameter $\gamma$ of the dominating set. Our method is an adaptation of that used in \cite{HKO} for the Bergman spaces and is based on a Remez-type inequality and a covering lemma related to doubling measures.
dc.description.sponsorshipNoyaux reproduisants en Analyse et au-delà - ANR-18-CE40-0035
dc.language.isoen
dc.subject.enDominating sets
dc.subject.enSampling constant
dc.subject.enFock space
dc.subject.enRelative density
dc.title.enSAMPLING CONSTANTS IN GENERALIZED FOCK SPACES
dc.typeDocument de travail - Pré-publication
dc.subject.halMathématiques [math]/Variables complexes [math.CV]
dc.subject.halMathématiques [math]/Analyse classique [math.CA]
dc.subject.halMathématiques [math]/Analyse fonctionnelle [math.FA]
dc.identifier.arxiv2103.11653
dc.description.sponsorshipEuropeJoint French-Russian Research Project PRC CNRS/RFBR 2017–2019
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-03174991
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-03174991v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=KONATE,%20S&ORSONI,%20Marcu-Antone&rft.genre=preprint


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