Integral means and coefficient estimates on planar harmonic mappings

DOI10.5186/aasfm.2012.3707zbMath1291.30131OpenAlexW1988652607MaRDI QIDQ2908731

Shao Lin Chen, Xian Tao Wang, Saminathan Ponnusamy

Publication date: 5 September 2012

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

Full work available at URL: https://doi.org/10.5186/aasfm.2012.3707

zbMATH Keywords

harmonic Hardy spaceharmonic mappingcoefficient estimate

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Conformal mappings of special domains (30C20) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

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On harmonic \(K\)-quasiconformal mappings associated with asymmetric vertical strips ⋮ Covering and distortion theorems for planar harmonic univalent mappings ⋮ Several properties of \(\alpha \)-harmonic functions in the unit disk ⋮ Growth of harmonic mappings and Baernstein type inequalities ⋮ On integral means for starlike and spiral-like functions ⋮ Harmonic mappings in Bergman spaces ⋮ Lipschitz-type spaces and Hardy spaces on some classes of complex-valued functions ⋮ Radial growth, Lipschitz and Dirichlet spaces on solutions to the non-homogenous Yukawa equation ⋮ Characterizations of Hardy-type, Bergman-type and Dirichlet-type spaces on certain classes of complex-valued functions ⋮ Some properties of a class of elliptic partial differential operators ⋮ Some sharp Schwarz-Pick type estimates and their applications of harmonic and pluriharmonic functions ⋮ On characterizations of Bloch-type, Hardy-type and Lipschitz-type spaces ⋮ Integral means of weighted Hardy-Bloch functions ⋮ LIPSCHITZ SPACES AND BOUNDED MEAN OSCILLATION OF HARMONIC MAPPINGS

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