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

Let H(Bn) be the set of all holomorphic functions on the open unit ball Bn in Cn, φ a holomorphic self‐map of Bn, u∈H(Bn), and Rm the mth iterated radial derivative operator on H(Bn). We characterize the metrical boundedness and metrical compactness of the weighted iterated radial composition operator Ru,φm from the weighted Bergman–Orlicz space to the weighted‐type space.