Year: 2013
Type: article
Abstract: We study images of the unit ball under certain special classes of quasiregular mappings. For homeomorphic, i.e., quasiconformal mappings problems of this type have been studied extensively in the literature. In this paper we also consider non-homeomorphic quasiregular mappings. In particular, we study (topologically) closed quasiregular mappings originating from the work of J. Väisälä and M. Vuorinen in 1970's. Such mappings need not be one-to-one but they still share many properties of quasiconformal mappings. The global behavior of closed quasiregular mappings is similar to the local behavior of quasiregular mappings restricted to a so-called normal domain.
Source: Filomat
DOI: 10.2298/fil1302391h
Authors: Manzi Huang, Antti Rasila, Xiantao Wang
Institutions: Hunan Normal University, Aalto University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
Funder: Hunan Normal University
OpenAlex ID: W2139944641
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