@article{ecea004cea79407cacebd356310c5a3c,
title = "Ahlfors-Weill extensions for harmonic mappings",
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.",
keywords = "Harmonic mapping, Quasiconformal extension, Schwarzian derivative",
author = "Iason Efraimidis and Rodrigo Hern{\'a}ndez and Mart{\'i}n, {Mar{\'i}a J.}",
note = "Funding Information: The first author is supported by a Mar{\'i}a Zambrano contract, reference number CA3/RSUE/2021-00386 , from UAM and Ministerio de Universidades , Spain (Plan de Recuperaci{\'o}n, Transformaci{\'o}n y Resiliencia). The second author is partially supported by FONDECYT grant # 1190756 , Chile. The first and third authors are partially supported by the Spanish research project PID2019-106870GB-I00 ( MICINN ). The third author is partially supported by the Spanish research project PID2019-106093GB-I00 ( MICINN ). Publisher Copyright: {\textcopyright} 2023 Elsevier Inc.",
year = "2023",
month = jul,
day = "15",
doi = "10.1016/j.jmaa.2023.127053",
language = "English",
volume = "523",
journal = "Journal of Mathematical Analysis and Applications",
issn = "0022-247X",
publisher = "Academic Press Inc.",
number = "2",
}