Characterizations of Hardy-Orlicz spaces on strictly pseudoconvex domains of C n

Abstract

In this paper, we characterize Hardy-Orlicz spaces on strictly pseudoconvex domains of Cn using real variable methods. Concretely, we prove the basic properties for a boundary behavior of functions in Hardy-Orlicz spaces, an approximation of functions in Hardy-Orlicz spaces by some functions holomorphic up to a neighborhood of the boundary, and a boundedness of the Szego projection.