Composition operators on Hardy-Orlicz spaces on the ball (Q645108)

The author presents a thorough study of the Hardy-Orlicz spaces, \(H^\psi(B_n)\), on the unit ball of \(\mathbb C^n\). New Carleson-type embedding theorems are given to derive results on boundedness and compactness of composition operators on \(H^\psi(B_n)\). One of the main results is the presentation of certain Hardy-Orlicz spaces, different from \(H^\infty(B_n)\), on which every composition operator is bounded.