Hollow quasiFatou components of quasiregular mapsTools Nicks, Daniel A. and Sixsmith, David J. (2016) Hollow quasiFatou components of quasiregular maps. Mathematical Proceedings of the Cambridge Philosophical Society . ISSN 14698064
AbstractWe define a quasiFatou component of a quasiregular map as a connected component of the complement of the Julia set. A domain in Rd is called hollow if it has a bounded complementary component. We show that for each d≥2 there exists a quasiregular map of transcendental type f:Rd→Rd with a quasiFatou component which is hollow.
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