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Compact composition operators on weighted Hilbert spaces of analytic functions
KELLAY, Karim
Laboratoire d'Analyse, Topologie, Probabilités [LATP]
Institut de Mathématiques de Bordeaux [IMB]
Laboratoire d'Analyse, Topologie, Probabilités [LATP]
Institut de Mathématiques de Bordeaux [IMB]
KELLAY, Karim
Laboratoire d'Analyse, Topologie, Probabilités [LATP]
Institut de Mathématiques de Bordeaux [IMB]
< Reduce
Laboratoire d'Analyse, Topologie, Probabilités [LATP]
Institut de Mathématiques de Bordeaux [IMB]
Language
en
Article de revue
This item was published in
Journal of Mathematical Analysis and Applications. 2012-02-15, vol. 386, n° 2, p. 718-727
Elsevier
English Abstract
We characterize the compactness of composition operators acting on a large family of Hilbert spaces of analytic functions which lie between Bergman and Dirichlet spaces. Our characterization is given in terms of generalized ...Read more >
We characterize the compactness of composition operators acting on a large family of Hilbert spaces of analytic functions which lie between Bergman and Dirichlet spaces. Our characterization is given in terms of generalized Nevanlinna counting functions.Read less <
English Keywords
Weighted analytic spaces
compact composition operators
generalized Nevanlinna counting function.
generalized Nevanlinna counting function
ANR Project
Dynamique des opérateurs - ANR-07-BLAN-0249
Origin
Hal imported