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]

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

HAL domain(s) :

Mathématiques [math]/Variables complexes [math.CV]
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 >

Language :

Anglais

Popular science :

Non

ANR Project :

Centre Européen pour les Mathématiques, la Physique et leurs Interactions

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL