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Efraimidis, I., Hernandez, R., & Martin, M. J. (2023). Ahlfors-Weill extensions for harmonic mappings.
J. Math. Anal. Appl.
,
523
(2), 127053.
Abstract:
We provide two new formulas for quasiconformal extension to 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.(c) 2023 Elsevier Inc. All rights reserved.
Keywords:
Harmonic mapping
;
Schwarzian derivative
;
Quasiconformal extension
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