Sharp estimates of the solutions to Bézout's polynomial equation and a corona theorem
| hal.structure.identifier | Laboratoire Paul Painlevé - UMR 8524 [LPP] | |
| dc.contributor.author | FRICAIN, Emmanuel | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | HARTMANN, Andreas | |
| hal.structure.identifier | "Simion Stoilow" Institute of Mathematics [IMAR] | |
| dc.contributor.author | TIMOTIN, Dan | |
| hal.structure.identifier | Department of Mathematics and Statistics | |
| dc.contributor.author | ROSS, William | |
| dc.date.accessioned | 2024-04-04T02:41:35Z | |
| dc.date.available | 2024-04-04T02:41:35Z | |
| dc.date.created | 2022 | |
| dc.date.issued | 2023 | |
| dc.identifier.issn | 1050-6926 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191164 | |
| dc.description.abstractEn | In 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.sponsorship | Centre Européen pour les Mathématiques, la Physique et leurs Interactions - ANR-11-LABX-0007 | |
| dc.language.iso | en | |
| dc.publisher | Springer | |
| dc.subject.en | Bézout's equation | |
| dc.subject.en | de Branges--Rovnyak spaces | |
| dc.subject.en | corona theorem | |
| dc.title.en | Sharp estimates of the solutions to Bézout's polynomial equation and a corona theorem | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Variables complexes [math.CV] | |
| dc.subject.hal | Mathématiques [math]/Analyse classique [math.CA] | |
| dc.identifier.arxiv | 2205.00740 | |
| bordeaux.journal | The Journal of Geometric Analysis | |
| bordeaux.volume | 33 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 8 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-03655845 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-03655845v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=The%20Journal%20of%20Geometric%20Analysis&rft.date=2023&rft.volume=33&rft.issue=8&rft.eissn=1050-6926&rft.issn=1050-6926&rft.au=FRICAIN,%20Emmanuel&HARTMANN,%20Andreas&TIMOTIN,%20Dan&ROSS,%20William&rft.genre=article |
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