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On quasiconformal extensions of harmonic mappings associated with pre-Schwarzian derivative
Published 27 Dec 2021 in math.CV | (2112.13653v1)
Abstract: In this paper, we extend Ahlfors's univalent criteria and Ahlfors's quasiconformal extension for analytic functions to harmonic mappings defined in the unit disk. Moreover, we give a general quasiconformal extension of harmonic Teichm\"{u}ller mappings, whose maximal dilatation estimate is asymptotically sharp.
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