Ahlfors-Weill extensions for harmonic mappings

Iason Efraimidis; Rodrigo Hernández; María J. Martín

doi:10.1016/j.jmaa.2023.127053

Ahlfors-Weill extensions for harmonic mappings

Iason Efraimidis, Rodrigo Hernández, María J. Martín

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

Resumen

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.

Idioma original	Inglés
Número de artículo	127053
Publicación	Journal of Mathematical Analysis and Applications
Volumen	523
N.º	2
DOI	https://doi.org/10.1016/j.jmaa.2023.127053
Estado	Publicada - 15 jul. 2023
Publicado de forma externa	Sí

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@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 = "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.",

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TY - JOUR

T1 - Ahlfors-Weill extensions for harmonic mappings

AU - Efraimidis, Iason

AU - Hernández, Rodrigo

AU - Martín, María J.

PY - 2023/7/15

Y1 - 2023/7/15

N2 - 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.

AB - 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.

KW - Harmonic mapping

KW - Quasiconformal extension

KW - Schwarzian derivative

UR - http://www.scopus.com/inward/record.url?scp=85148752175&partnerID=8YFLogxK

U2 - 10.1016/j.jmaa.2023.127053

DO - 10.1016/j.jmaa.2023.127053

M3 - Article

AN - SCOPUS:85148752175

SN - 0022-247X

VL - 523

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

M1 - 127053

ER -

Ahlfors-Weill extensions for harmonic mappings

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