Generalized Composition Operators from ℬ

Abstract

Let 0<p<∞, let -2<q<∞, and let φ be an analytic self-map of and g∈H(). The boundedness and compactness of generalized composition operators (Cφgf)(z)=∫0z‍f'(φ(ξ))g(ξ)dξ, z∈, f∈H(), from ℬμ (ℬμ,0) spaces to QK,ω(p,q) spaces are investigated