Quasiconformal extension of harmonic mappings in the plane

DOI10.5186/aasfm.2013.3824zbMath1316.31005OpenAlexW2316758232MaRDI QIDQ2860887

Rodrigo Hernández, María J. Martín

Publication date: 11 November 2013

Published in: Annales Academiae Scientiarum Fennicae Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5186/aasfm.2013.3824

zbMATH Keywords

harmonic mappingspre-Schwarzian derivative

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) General theory of univalent and multivalent functions of one complex variable (30C55)

Related Items (16)

Close-to-harmonic extensions on the plane ⋮ On Becker's univalence criterion ⋮ Quasiconformal extension of integral transforms of analytic and harmonic mappings ⋮ Criteria for bounded valence of harmonic mappings ⋮ On the pre-Schwarzian norm of certain logharmonic mappings ⋮ Criteria for univalency and quasiconformal extension for harmonic mappings ⋮ Affine and linear invariant families of harmonic mappings ⋮ Two-point distortion theorems for harmonic mappings ⋮ On the univalence of certain integral for harmonic mappings ⋮ Criteria for univalence and quasiconformal extension of harmonic mappings in terms of the Schwarzian derivative ⋮ Criteria for univalence and quasiconformal extension for harmonic mappings on planar domains ⋮ Strongly quasiconformal extension of harmonic mappings ⋮ On the harmonic Möbius transformations ⋮ A new approach for the univalence of certain integral of harmonic mappings ⋮ Pre-Schwarzian and Schwarzian derivatives of logharmonic mappings ⋮ QUASICONFORMAL EXTENSIONS OF HARMONIC MAPPINGS WITH A COMPLEX PARAMETER

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