Authors: Božin, Vladimir 
Mateljević, Miodrag
Title: Bounds for Jacobian of harmonic injective mappings in n-dimensional space
Journal: Filomat
Volume: 29
Issue: 9
First page: 2119
Last page: 2124
Issue Date: 1-Jan-2015
Rank: M21
ISSN: 0354-5180
DOI: 10.2298/FIL1509119B
Using normal family arguments, we show that the degree of the first nonzero homogenous polynomial in the expansion of n dimensional Euclidean harmonic K-quasiconformal mapping around an internal point is odd, and that such a map from the unit ball onto a bounded convex domain, with K < 3n-1, is co-Lipschitz. Also some generalizations of this result are given, as well as a generalization of Heinz’s lemma for harmonic quasiconformal maps in Rn and related results.
Keywords: Convex codomains | Harmonic mappings | Quasiconformal mappings
Publisher: Faculty of Sciences and Mathematics, University of Niš
Project: Analysis and algebra with applications 

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