Let Ω and ∏ be two simply connected proper subdomains of the complex plane ℂ. We are concerned with the set A(Ω, ∏) of functions f : Ω → ∏ holomorphic on Ω and we prove estimates for |f(n)(z)|, f ∈ A(Ω, Ω),z ∈ Ω, of the ...