Ahlfors-Weill extensions for harmonic mappings

Published 16 May 2021 in math.CV | (2105.07492v1)

Abstract: We provide two new formulas for quasiconformal extension to $\overline{\mathbb{C}}$ for harmonic mappings defined in the unit disk and having sufficiently small Schwarzian derivative. Both are generalizations of the Ahlfors-Weill extension for holomorphic functions.

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