Differences of generalized composition operators between Bloch type spaces

Abstract

Abstract. Let ϕ and ψ be analytic self-maps of the open unit disk D . Using pseudo-hyperbolic distance ρ(ϕ,ψ) , we characterize the boundedness and compactness of the differences of generalized composition operatorsbetween two Bloch-type spaces on D . The results generalize the corresponding results on the single generalized composition operator and on the differences of generalized composition operators on the Bloch space.Mathematics subject classification (2010): Primary 47B38; secondary 30H30.