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

摘要

Let Mu be the multiplication operator with symbol u which is a holomorphic function on the open unit ball ? in ℂn,Cφ the composition operator with symbol φ which is a holomorphic self‐map of ?, and ℜm,m∈ℕ, the mth iterated radial derivative operator. The boundedness and compactness of the weighted iterated radial composition operator ℜu,φm:=MuCφℜm from logarithmic Bloch spaces to weighted‐type spaces are characterized.