Weighted iterated radial composition operators from weighted Bergman–Orlicz spaces to weighted‐type spaces on the unit ball

Abstract

Let be the set of all holomorphic functions on the open unit ball in , φ a holomorphic self‐map of , , and ℜ m the m th iterated radial derivative operator on . We characterize the metrical boundedness and metrical compactness of the weighted iterated radial composition operator from the weighted Bergman–Orlicz space to the weighted‐type space.

Topics & Concepts