Approximation numbers of composition ...
Type de document :
Pré-publication ou Document de travail
Titre :
Approximation numbers of composition operators on the Dirichlet space
Auteur(s) :
Lefèvre, Pascal [Auteur]
Laboratoire de Mathématiques de Lens [LML]
Li, Daniel [Auteur]
Laboratoire de Mathématiques de Lens [LML]
Rodriguez-Piazza, Luis [Auteur]
Queffélec, Hervé [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Laboratoire de Mathématiques de Lens [LML]
Li, Daniel [Auteur]
Laboratoire de Mathématiques de Lens [LML]
Rodriguez-Piazza, Luis [Auteur]
Queffélec, Hervé [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Mot(s)-clé(s) en anglais :
approximation numbers
capacit
composition operator
cusp map
Dirichlet space
Schatten classes
capacit
composition operator
cusp map
Dirichlet space
Schatten classes
Discipline(s) HAL :
Mathématiques [math]/Analyse fonctionnelle [math.FA]
Résumé en anglais : [en]
We study the decay of approximation numbers of compact composition operators on the Dirichlet space. We give upper and lower bounds for these numbers. In particular, we improve on a result of O. El-Fallah, K. Kellay, M. ...
Lire la suite >We study the decay of approximation numbers of compact composition operators on the Dirichlet space. We give upper and lower bounds for these numbers. In particular, we improve on a result of O. El-Fallah, K. Kellay, M. Shabankhah and A. Youssfi, on the set of contact points with the unit circle of a compact symbolic composition operator acting on the Dirichlet space D. We extend their results in two directions: first, the contact only takes place at the point 1. Moreover, the approximation numbers of the operator can be arbitrarily sub-exponentially small.Lire moins >
Lire la suite >We study the decay of approximation numbers of compact composition operators on the Dirichlet space. We give upper and lower bounds for these numbers. In particular, we improve on a result of O. El-Fallah, K. Kellay, M. Shabankhah and A. Youssfi, on the set of contact points with the unit circle of a compact symbolic composition operator acting on the Dirichlet space D. We extend their results in two directions: first, the contact only takes place at the point 1. Moreover, the approximation numbers of the operator can be arbitrarily sub-exponentially small.Lire moins >
Langue :
Anglais
Collections :
Source :
Fichiers
- document
- Accès libre
- Accéder au document
- Approx_Dirichlet_intro.pdf
- Accès libre
- Accéder au document
- 1212.4366
- Accès libre
- Accéder au document