Phragmén-Lindelöf Principles and Julia Limiting Directions of Quasiregular Mappings

Alastair N. Fletcher, Julie M. Steranka

We show that the set of Julia limiting directions of a transcendental-type $K$-quasiregular mapping $f:{\mathbb{R}}^n\to {\mathbb{R}}^n$ must contain a component of a certain size, dep…