Quasiconformal extension of harmonic mappings in the plane

Rodrigo Hernández; María J. Martín

doi:10.5186/aasfm.2013.3824

Quasiconformal extension of harmonic mappings in the plane

Rodrigo Hernández
, María J. Martín

Facultad de Ingeniería y Ciencias

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

25 Citas (Scopus)

Resumen

Let f be a sense-preserving harmonic mapping in the unit disk. We give a sufficient condition in terms of the pre-Schwarzian derivative of f to ensure that it can be extended to a quasiconformal map in the complex plane.

Idioma original	Inglés
Páginas (desde-hasta)	617-630
Número de páginas	14
Publicación	Annales Academiae Scientiarum Fennicae Mathematica
Volumen	38
N.º	1
DOI	https://doi.org/10.5186/aasfm.2013.3824
Estado	Publicada - 2013

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title = "Quasiconformal extension of harmonic mappings in the plane",

abstract = "Let f be a sense-preserving harmonic mapping in the unit disk. We give a sufficient condition in terms of the pre-Schwarzian derivative of f to ensure that it can be extended to a quasiconformal map in the complex plane.",

keywords = "Harmonic mapping, Pre-Schwarzian derivative, Quasiconformal extension",

author = "Rodrigo Hern{\'a}ndez and Mart{\'i}n, \{Mar{\'i}a J.\}",

year = "2013",

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language = "English",

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AU - Martín, María J.

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AB - Let f be a sense-preserving harmonic mapping in the unit disk. We give a sufficient condition in terms of the pre-Schwarzian derivative of f to ensure that it can be extended to a quasiconformal map in the complex plane.

KW - Harmonic mapping

KW - Pre-Schwarzian derivative

KW - Quasiconformal extension

UR - https://www.scopus.com/pages/publications/84908167716

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DO - 10.5186/aasfm.2013.3824

M3 - Article

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SN - 1239-629X

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JO - Annales Academiae Scientiarum Fennicae Mathematica

JF - Annales Academiae Scientiarum Fennicae Mathematica

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Quasiconformal extension of harmonic mappings in the plane

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