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Approximation numbers of composition operators on the Hardy and Bergman spaces of the ball and of the polydisk

Published online by Cambridge University Press:  13 March 2017

FRÉDÉRIC BAYART ,
DANIEL LI ,
HERVÉ QUEFFÉLEC  and
LUIS RODRÍGUEZ–PIAZZA
FRÉDÉRIC BAYART
Affiliation:
Université Clermont Auvergne, CNRS, LMBP, F-63000 Clermont–Ferrand, France. e-mail: bayart@math.univ-bpclermont.fr
DANIEL LI
Affiliation:
Univ. Artois, Laboratoire de Mathématiques de Lens (LML) EA 2462, & Fédération CNRS Nord–Pas–de–Calais FR 2956, Faculté Jean Perrin, Rue Jean Souvraz, S.P. 18, F-62 300 Lens, France. e-mail: daniel.li@euler.univ-artois.fr
HERVÉ QUEFFÉLEC
Affiliation:
Univ. Lille Nord de France, USTL, Laboratoire Paul Painlevé U.M.R. CNRS 8524 & Fédération CNRS Nord–Pas–de–Calais FR 2956, F-59 655 Villeneuve d'ascq Cedex, France. e-mail: Herve.Queffelec@univ-lille1.fr
LUIS RODRÍGUEZ–PIAZZA
Affiliation:
Universidad de Sevilla, Facultad de Matemáticas, Departamento de Análisis Matemático & IMUS, Apartado de Correos 1160, 41 080 Sevilla, Spain. e-mail: piazza@us.es
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Abstract

We give general estimates for the approximation numbers of composition operators on the Hardy space on the ball Bd and the polydisk ${\mathbb D}$d and of composition operators on the Bergman space on the polydisk.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 165 , Issue 1 , July 2018 , pp. 69 - 91
Copyright
Copyright © Cambridge Philosophical Society 2017 

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