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arXiv · 2105.07492

Ahlfors-Weill extensions for harmonic mappings

Iason Efraimidis·Rodrigo Hernández·María J. Martín
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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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Iason Efraimidis, Rodrigo Hernández, María J. Martín. 2021-05-16. Ahlfors-Weill extensions for harmonic mappings. https://arxiv.org/abs/2105.07492

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