Composition operators on Hardy-Orlicz spaces / Pascal Lefèvre, Daniel Li, Hervé Queffélec... [et al.]

Auteur principal : Lefèvre, Pascal, 1969-, AuteurCo-auteur : Li, Daniel, Auteur • Queffélec, Hervé, 1946-, AuteurType de document : MonographieCollection : Memoirs of the American Mathematical Society, 974Langue : anglais.Pays: Etats Unis.Éditeur : Providence (R.I.) : American Mathematical Society, 2010Description : 1 vol. (V-74 p.) ; 26 cmISBN: 9780821846377.ISSN: 0065-9266.Bibliographie : Bibliogr. p. 73-74.Sujet MSC : 47B33, Operator theory - Special classes of linear operators, Linear composition operators
46E30, Functional analysis - Linear function spaces and their duals, Spaces of measurable functions
47-02, Research exposition (monographs, survey articles) pertaining to operator theory
En-ligne : ArXiv
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Bibliogr. p. 73-74

The authors investigate composition operators on Hardy-Orlicz spaces when the Orlicz function Ψ grows rapidly: compactness, weak compactness, to be p-summing, order bounded, ..., and show how these notions behave according to the growth of Ψ. They introduce an adapted version of Carleson measure. They construct various examples showing that their results are essentially sharp. In the last part, they study the case of Bergman-Orlicz spaces. (Source : AMS)

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