@article{47cc5798188b4e0ba94a9c45c32a1ce1,
title = "Criteria for univalence and quasiconformal extension of harmonic mappings in terms of the Schwarzian derivative",
abstract = "We prove that if the Schwarzian norm of a given complex-valued locally univalent harmonic mapping f in the unit disk is small enough, then f is, indeed, globally univalent in the unit disk and can be extended to a quasiconformal mapping in the extended complex plane.",
keywords = "Harmonic mapping, Quasiconformal extension, Schwarzian derivative, Univalence criterion",
author = "Rodrigo Hern{\'a}ndez and Mart{\'i}n, {Mar{\'i}a J.}",
note = "Publisher Copyright: {\textcopyright} 2014, Springer Basel.",
year = "2014",
month = jan,
doi = "10.1007/s00013-014-0714-5",
language = "English",
volume = "104",
pages = "53--59",
journal = "Archiv der Mathematik",
issn = "0003-889X",
publisher = "Birkhauser Verlag Basel",
number = "1",
}