F. Bayart, D. Li, H. Queffélec, and L. Rodríguez-piazza, Approximation numbers of composition operators on the Hardy and Bergman spaces of the ball or of the polydisk, Mathematical Proceedings of the Cambridge Philosophical Society, vol.165, issue.1, pp.69-91, 2018.

C. Cowen and B. Maccluer, Composition Operators on Spaces of Analytic Functions, Studies in Advanced Mathematics, 1994.

P. Duren and A. Schuster, Bergman spaces, Mathematical Surveys and Monographs 100, 2004.

W. W. Hastings, A Carleson measure theorem for Bergman spaces, Proc. Amer. Math. Soc, vol.52, pp.237-241, 1975.
DOI : 10.2307/2040137

URL : http://www.ams.org/proc/1975-052-01/S0002-9939-1975-0374886-9/S0002-9939-1975-0374886-9.pdf

P. Lefèvre, D. Li, H. Queffélec, and L. Rodríguez-piazza, Some examples of compact composition operators on H 2, J. Funct. Anal, vol.255, issue.11, pp.3098-3124, 2008.

P. Lefèvre, D. Li, H. Queffélec, and L. Rodríguez-piazza, Some revisited results about composition operators on Hardy spaces, Revista Math. Iberoamericana, vol.28, issue.1, pp.57-76, 2012.

P. Lefèvre, D. Li, H. Queffélec, and L. Rodríguez-piazza, Some new properties of composition operators associated with lens maps, Israel J. Math, vol.195, issue.2, pp.801-824, 2013.

D. Li, H. Queffélec, and L. , Rodríguez-Piazza On approximation numbers of composition operators, J. Approx. Theory, vol.164, issue.4, pp.431-459, 2012.
DOI : 10.1016/j.jat.2011.12.003

URL : https://doi.org/10.1016/j.jat.2011.12.003

D. Li, H. Queffélec, and L. , Rodríguez-Piazza Estimates for approximation numbers of some classes of composition operators on the Hardy space, Ann. Acad. Scient. Fennicae, vol.38, pp.547-564, 2013.

D. Li, H. Queffélec, and L. Rodríguez-piazza, A spectral radius formula for approximation numbers of composition operators, J. Funct. Anal, vol.267, issue.12, pp.4753-4774, 2015.
DOI : 10.1016/j.jfa.2014.09.008

URL : https://hal.archives-ouvertes.fr/hal-01020782

D. Li, H. Queffélec, and L. Rodríguez-piazza, Some examples of composition operators and their approximation numbers on the Hardy space of the bidisk, Trans. Amer. Math. Soc
URL : https://hal.archives-ouvertes.fr/hal-01536919

B. Maccluer, Spectra of compact composition operators on H p (B N ), vol.4, pp.87-103, 1984.

B. Maccluer and H. Shapiro, Angular derivatives and compact composition operators on the Hardy and Bergman spaces, Canad. J. Math, vol.38, issue.4, pp.878-906, 1986.

J. Shapiro, Composition operators and classical function theory, Universitext, Tracts in Mathematics, 1993.
DOI : 10.1007/978-1-4612-0887-7

J. H. Shapiro, P. D. Taylor, and H. Compact, Indiana Univ. Math. J, vol.23, issue.2, pp.471-496, 1973.

D. A. Stegenga, Multipliers of the Dirichlet space, Ill. J. Math, vol.24, issue.1, pp.113-139, 1980.

K. Zhu, Operator Theory in Function Spaces, vol.138, 2007.

, Facultad de Matemáticas, Departamento de Análisis Matemático & IMUS, Calle Tarfia s/n