. Bj-]-o, H. Blasco-de-la-cruz, and . Jarchow, A note on Carleson measures for Hardy spaces, Acta Sci. Math. (Szeged), vol.71, issue.12, pp.371-389, 2005.

. [. Carleson, Interpolations by Bounded Analytic Functions and the Corona Problem, The Annals of Mathematics, vol.76, issue.3, pp.547-559, 1962.
DOI : 10.2307/1970375

]. C. Cmc, B. D. Cowen, and . Maccluer, Composition operators on spaces of analytic functions, Studies in Advanced Mathematics, 1995.

. J. Djt, H. Diestel, A. Jarchow, and . Tonge, Absolutely summing operators, 1995.

. [. Duren, Theory of H p spaces, Pure and Applied Mathematics, vol.38

K. [. Fallah and . Kellay, Nevanlinna counting function and pull back measure, Proc. A.M.S, vol.14, issue.6, pp.2559-2564, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01107904

D. [. Lefèvre, H. Li, L. Queffélec, and . Rodríguez-piazza, Composition operators on Hardy-Orlicz spaces, Memoirs Amer, Math. Soc, vol.207, issue.974, 2010.

D. [. Lefèvre, H. Li, and L. Queffélec, Rodríguez-Piazza , Nevanlinna counting function and Carleson function of analytic maps, Math. Annalen, vol.351, pp.2-305, 2011.

D. [. Lefèvre, H. Li, L. Queffélec, and . Rodríguez-piazza, Some examples of compact composition operators on <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msup><mml:mi>H</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:math>, Journal of Functional Analysis, vol.255, issue.11, pp.3098-3124, 2008.
DOI : 10.1016/j.jfa.2008.06.027

L. [. Lefèvre and . Rodríguez-piazza, Plongements de Carleson absolument sommants, Comptes Rendus de l, Académie des Sciences, vol.354, issue.12, pp.1209-1213, 2016.

]. D. Lu1 and . Luecking, Trace Ideal Criteria for Toeplitz Operators, J. Funct. Anal, vol.73, pp.345-368, 1987.

D. H. Luecking, Embedding Derivatives of Hardy Spaces into Lebesgue Spaces, Proc. London Math. Soc, pp.565-619, 1991.
DOI : 10.1112/plms/s3-63.3.595

URL : http://plms.oxfordjournals.org/cgi/content/short/s3-63/3/595

. H. Lz-]-d, K. Luecking, and . Zhu, Composition operators belonging to the Schatten ideals, Amer. J. Math, vol.114, pp.1127-1145, 1992.

]. B. Ma and . Maurey, Théorèmes de factorisation pour les opérateurs linéaires à valeurs dans les espaces L p . Astérisque No, 1973.

]. S. Po and . Power, Vanishing Carleson measures, Bull. London Math. Soc, vol.12, issue.3, pp.207-210, 1980.

]. D. Sa and . Sarason, Weak compactness of holomorphic composition operators on H 1 , Functional analysis and operator theory, 75?79, Lecture Notes in Math., 1511, 1990.

. [. Shapiro, Composition Operators and Classical Function Theory, Universitext. Tracts in Mathematics, 1993.
DOI : 10.1007/978-1-4612-0887-7

. [. Zygmund, Trigonometric series