Composition operators on Hardy-Orlicz spaces

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We 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 $Ψ$. We introduce an adapted version of Carleson measure. We construct various examples showing that our results are essentially sharp. In the last part, we study the case of Bergman-Orlicz spaces.
78 pages

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Functional Analysis, 47B33;46 E 30

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http://salesiana.dossiersoluciones.com/handle/123456789/118170

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0610905
 http://arxiv.org/abs/math/0610905

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arXiv