... York, 1993. Valentin Matache: Department of Mathematics, University of Nebraska, Omaha, NE 68182, USAE-mail address: vmatache@mail.unomaha.edu Valentin Matache 89On the other hand, T ∩ A( z,ϕ(z),(1 ... C.C.CowenandB.D.MacCluer,Composition O perators on Spaces of Analytic Functions, Stud-ies in Advanced Mathematics, CRC Press, Florida, 1995.[3] J.B.Garnett,Bounded Analytic Functions, Pure and Applied ... Valentin Matache 91as one can readily check by using relations (2.6)and(2.7) (see also Figure 2.1 whichillustrates the equality above). The fact that such holomorphic self-maps exist can...