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 (Formula presented.) in (Formula presented.) the composition operator with symbol φ which is a holomorphic self-map of (Formula presented.), and (Formula presented.), the mth iterated radial derivative operator. The boundedness and compactness of the weighted iterated radial composition operator (Formula presented.) from logarithmic Bloch spaces to weighted-type spaces are characterized.