Weighted iterated radial composition operators from logarithmic Bloch spaces to weighted‐type spaces on the unit ball

Abstract

Let Mu be the multiplication operator with symbol u which is a holomorphic function on the open unit ball in the composition operator with symbol φ which is a holomorphic self‐map of , and , the mth iterated radial derivative operator. The boundedness and compactness of the weighted iterated radial composition operator from logarithmic Bloch spaces to weighted‐type spaces are characterized.