98-24   Berichtsreihe des Mathematischen Seminars der Universität Kiel

Walter Bergweiler:

A new proof of the Ahlfors five islands theorem

We deduce the Ahlfors five islands theorem from a corresponding result of Nevanlinna concerning perfectly branched values, a rescaling lemma for non-normal families and an existence theorem for quasiconformal mappings. We also give a proof of Nevanlinna's result based on the rescaling lemma and a version of Schwarz's lemma.

Bibliographical note: appeared in J. Analyse Math. 76 (1998), 337-347.

Mail an Jens Burmeister
[Thu Feb 19 18:56:34 2009]