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

Abstract

Let H( B) denote the space of all holomorphic functions on the unit ball B of C n . 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 ( C φ g f ) ( z ) = ∫ 0 1 R f ( φ ( tz ) ) g ( tz ) dt t , which map from F( p, q, s) and F 0( p, q, s) to Bloch-type space B α in the unit ball.