On generalized superposition operator acting of analytic function spaces

In this paper we introduce a new integration operator Sg,ϕ(n), whereSg,ϕ(n)=∫0zϕ(n)(f(ξ))g(ξ)dξ.We characterize all entire functions that transform a Bloch-type space into another by this new integration operator. Also, we prove that all generalized superposition operators induced by such entire functions are bounded.