2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/118170We 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 pagesFunctional Analysis47B33;46 E 30Composition operators on Hardy-Orlicz spacestext