Composition operators on Hardy-Orlicz spaces on the ball

Stéphane Charpentier (1)

1 UP11 - Université Paris-Sud - Paris 11

We give embedding theorems for Hardy-Orlicz spaces on the ball and then apply our results to the study of the boundedness and the compactness of composition operators in this context. As one of the motivations of this work, we show that there exist some Hardy-Orlicz spaces, different from $H^{\infinity}$, on which every composition operator is bounded.

Domaines: Analyse fonctionnelle [math.FA]; Variables complexes [math.CV]

Stéphane Charpentier. Composition operators on Hardy-Orlicz spaces on the ball. 2010. ⟨hal-00542722⟩