SAMPLING CONSTANTS IN GENERALIZED FOCK SPACES
| hal.structure.identifier | IUFP, Université de Ségou | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | KONATE, S | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | ORSONI, Marcu-Antone | |
| dc.date.accessioned | 2024-04-04T02:34:21Z | |
| dc.date.available | 2024-04-04T02:34:21Z | |
| dc.date.created | 2023-04-29 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190544 | |
| dc.description.abstractEn | We 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.sponsorship | Noyaux reproduisants en Analyse et au-delà - ANR-18-CE40-0035 | |
| dc.language.iso | en | |
| dc.subject.en | Dominating sets | |
| dc.subject.en | Sampling constant | |
| dc.subject.en | Fock space | |
| dc.subject.en | Relative density | |
| dc.title.en | SAMPLING CONSTANTS IN GENERALIZED FOCK SPACES | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math]/Variables complexes [math.CV] | |
| dc.subject.hal | Mathématiques [math]/Analyse classique [math.CA] | |
| dc.subject.hal | Mathématiques [math]/Analyse fonctionnelle [math.FA] | |
| dc.identifier.arxiv | 2103.11653 | |
| dc.description.sponsorshipEurope | Joint French-Russian Research Project PRC CNRS/RFBR 2017–2019 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| hal.identifier | hal-03174991 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-03174991v1 | |
| bordeaux.COinS | ctx_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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