Generalized composition operators from F(p, q, s) spaces to Bloch-type spaces

摘要

Let H(B) denote the space of all holomorphic functions on the unit ball B of Cn. Let φ be a holomorphic self-map of B and g ∈ H(B) such that g(0) = 0. In this paper, we investigate the boundedness and compactness of the generalized composition operator(Cφgf)(z)=∫01Rf(φ(tz))g(tz)dtt,which map from F(p, q, s) and F0(p, q, s) to Bloch-type space Bα in the unit ball.