Weighted composition operators from Bergman-type spaces into Bloch spaces

Abstract

Let φ be an analytic self-map and u be a fixed analytic function on the open unit disk D in the complex plane ℂ. The weighted composition operator is defined by uCφf = u · (f o φ), f ∈ H (D). Weighted composition operators from Bergman-type spaces into Bloch spaces and little Bloch spaces are characterized by function theoretic properties of their inducing maps.