Φ-Carleson measures and multipliers between Bergman-Orlicz spaces of the unit ball of Cn

Abstract

We define the notion ofΦ-Carleson measures, whereΦis either a concave growth function or a convexgrowth function, and provide an equivalent definition. We then characterizeΦ-Carleson measures forBergman–Orlicz spaces and use them to characterize multipliers between Bergman–Orlicz spaces.