We are not able to resolve this OAI Identifier to the repository landing page. If you are the repository manager for this record, please head to the Dashboard and adjust the settings.
We consider holomorphic maps f:U→U for a hyperbolic domain U in the complex plane, such that the iterates of f converge to a boundary point ζ of U. By a previous result of the authors, for such maps there exist nice absorbing domains W⊂U. In this paper we show that W can be chosen to be simply connected, if f has doubly parabolic type in the sense of the Baker-Pommerenke-Cowen classification of its lift by a universal covering (and ζ is not an isolated boundary point of U). We also provide counterexamples for other types of the map f and give an exact characterization of doubly parabolic type in terms of the dynamical behaviour of f
Is data on this page outdated, violates copyrights or anything else? Report the problem now and we will take corresponding actions after reviewing your request.