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

Abstract

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