Sharp estimates of the solutions to Bézout's ...
Document type :
Compte-rendu et recension critique d'ouvrage
Title :
Sharp estimates of the solutions to Bézout's polynomial equation and a corona theorem
Author(s) :
Fricain, Emmanuel [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Hartmann, Andreas [Auteur]
Institut de Mathématiques de Bordeaux [IMB]
Timotin, Dan [Auteur]
"Simion Stoilow" Institute of Mathematics [IMAR]
Ross, William [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Hartmann, Andreas [Auteur]
Institut de Mathématiques de Bordeaux [IMB]
Timotin, Dan [Auteur]
"Simion Stoilow" Institute of Mathematics [IMAR]
Ross, William [Auteur]
Journal title :
The Journal of Geometric Analysis
Publisher :
Springer
Publication date :
2023
ISSN :
1050-6926
English keyword(s) :
Bézout's equation
de Branges--Rovnyak spaces
corona theorem
de Branges--Rovnyak spaces
corona theorem
HAL domain(s) :
Mathématiques [math]/Variables complexes [math.CV]
Mathématiques [math]/Analyse classique [math.CA]
Mathématiques [math]/Analyse classique [math.CA]
English abstract : [en]
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, ...
Show more >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.Show less >
Show more >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.Show less >
Language :
Anglais
Popular science :
Non
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