COEFFICIENT ESTIMATES, LANDAU’S THEOREM AND LIPSCHITZ-TYPE SPACES ON PLANAR HARMONIC MAPPINGS

DOI10.1017/S1446788713000608zbMath1290.30063arXiv1209.5162MaRDI QIDQ5415971

Shao Lin Chen, Saminathan Ponnusamy, Antti H. Rasila

Publication date: 19 May 2014

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.5162

zbMATH Keywords

Lipschitz spaceharmonic mappingsharmonic Bloch spaceharmonic univalent mappingsGreen's theorem

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Spaces of bounded analytic functions of one complex variable (30H05) Conformal mappings of special domains (30C20) Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Quasiconformal mappings in the complex plane (30C62) Hardy spaces (30H10) Bloch spaces (30H30)

Related Items (15)

The Landau-Bloch type theorems for \(K\)-quasiregular pluriharmonic mappings ⋮ Precise values of the Bloch constants of certain log-\(p\)-harmonic mappings ⋮ Bloch and Landau type theorems for pluriharmonic mappings ⋮ Several properties of \(\alpha \)-harmonic functions in the unit disk ⋮ Landau and Bloch constants for meromorphic functions ⋮ Estimates on Bloch constants for certain \(\log\)-\(p\)-harmonic mappings ⋮ Estimate on the Bloch constant for certain harmonic mappings under a differential operator ⋮ Landau-Bloch type theorem for elliptic and quasiregular harmonic mappings ⋮ Harmonic Lipschitz type spaces and composition operators meet majorants ⋮ Distortion of quasiregular mappings and equivalent norms on Lipschitz-type spaces ⋮ Some properties of a class of elliptic partial differential operators ⋮ Radii of covering disks for locally univalent harmonic mappings ⋮ Lengths, areas and Lipschitz-type spaces of planar harmonic mappings ⋮ Landau-type theorems for certain bounded biharmonic mappings ⋮ On pluriharmonic \(\nu\)-Bloch-type mappings and hyperbolic-harmonic mappings

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