COMPOSITION OPERATORS ON DE BRANGES-ROVNYAK ...
Type de document :
Compte-rendu et recension critique d'ouvrage
Titre :
COMPOSITION OPERATORS ON DE BRANGES-ROVNYAK SPACES ASSOCIATED TO A RATIONAL (NOT INNER) FUNCTION
Auteur(s) :
Alhajj, Rim [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Fricain, Emmanuel [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Fricain, Emmanuel [Auteur]
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Laboratoire Paul Painlevé - UMR 8524 [LPP]
Titre de la revue :
Journal of Mathematical Analysis and Applications
Éditeur :
Elsevier
Date de publication :
2024
ISSN :
0022-247X
Mot(s)-clé(s) en anglais :
Composition operators
de Branges-Rovnyak spaces
angular derivatives
compactness
2010 Mathematics Subject Classification. 30J05
30H10
46E22 Composition operators
de Branges-Rovnyak spaces
angular derivatives
compactness
2010 Mathematics Subject Classification. 30J05
30H10
46E22 Composition operators
Discipline(s) HAL :
Mathématiques [math]/Analyse fonctionnelle [math.FA]
Résumé en anglais : [en]
In this paper, we characterize the boundedness, the compactness and the Hilbert-Schmidt property for composition operators acting from a de Branges-Rovnyak space $\mathcal H(b)$ into itself, when $b$ is a rational function ...
Lire la suite >In this paper, we characterize the boundedness, the compactness and the Hilbert-Schmidt property for composition operators acting from a de Branges-Rovnyak space $\mathcal H(b)$ into itself, when $b$ is a rational function in the closed unit ball of $H^\infty$ (but not a finite Blaschke product). In particular, we extend some of the results obtained by D. Sarason and J.N. Silva in the context of local Dirichlet spaces.Lire moins >
Lire la suite >In this paper, we characterize the boundedness, the compactness and the Hilbert-Schmidt property for composition operators acting from a de Branges-Rovnyak space $\mathcal H(b)$ into itself, when $b$ is a rational function in the closed unit ball of $H^\infty$ (but not a finite Blaschke product). In particular, we extend some of the results obtained by D. Sarason and J.N. Silva in the context of local Dirichlet spaces.Lire moins >
Langue :
Anglais
Vulgarisation :
Non
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