Linear connectivity, Schwarz-Pick lemma and univalency criteria for planar harmonic mapping

DOI10.1007/s10114-016-4259-3zbMath1336.31003arXiv1404.4155OpenAlexW2323169129WikidataQ124866649 ScholiaQ124866649MaRDI QIDQ270122

Shao Lin Chen, Saminathan Ponnusamy, Xian Tao Wang, Antti H. Rasila

Publication date: 7 April 2016

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.4155

zbMATH Keywords

Schwarz-Pick lemmaharmonic mappings in the diskunivalence problems

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) General theory of univalent and multivalent functions of one complex variable (30C55)

Related Items

Becker type univalence conditions for harmonic mappings ⋮ A Schwarz lemma for harmonic functions in the real unit ball ⋮ Avkhadiev-Becker type \(p\)-valence conditions for harmonic mappings of a disc ⋮ Radial length, radial John disks and \(K\)-quasiconformal harmonic mappings ⋮ Avkhadiev-Becker type univalence conditions for biharmonic mappings ⋮ Harmonic mappings with analytic part convex in one direction ⋮ John disks and \(K\)-quasiconformal harmonic mappings ⋮ Unnamed Item ⋮ Avkhadiev-Backer type \(p\)-valent conditions for biharmonic functions ⋮ On a problem of Bharanedhar and Ponnusamy involving planar harmonic mappings ⋮ The Schwarz type lemmas and the Landau type theorem of mappings satisfying Poisson's equations

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