COMPOSITION OPERATORS ON DE BRANGES-ROVNYAK ...
Document type :
Compte-rendu et recension critique d'ouvrage
Title :
COMPOSITION OPERATORS ON DE BRANGES-ROVNYAK SPACES ASSOCIATED TO A RATIONAL (NOT INNER) FUNCTION
Author(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]
![refId](/themes/Mirage2//images/idref.png)
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Journal title :
Journal of Mathematical Analysis and Applications
Publisher :
Elsevier
Publication date :
2024
ISSN :
0022-247X
English keyword(s) :
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
HAL domain(s) :
Mathématiques [math]/Analyse fonctionnelle [math.FA]
English abstract : [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 ...
Show more >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.Show less >
Show more >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.Show less >
Language :
Anglais
Popular science :
Non
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