Weighted composition operators between weighted Banach spaces of holomorphic functions and weighted Bloch type space

Abstract

Abstract. Let φ : D → D and ψ : D → C be analytic maps. They induce a weighted composition operator ψC φ acting between weighted Banach spaces of holomorphic functions and weighted Bloch type spaces. Under some assumptions on the weights we give a necessary as well as a sufficient condition for such an operator to be bounded resp. compact.