Some estimates for harmonic mappings with given boundary function

DOI10.1016/J.JMAA.2013.10.001zbMath1336.31009OpenAlexW2009751886MaRDI QIDQ902115

Jian-Feng Zhu

Publication date: 7 January 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.10.001

zbMATH Keywords

coefficient estimatesharmonic functions in the diskbi-Lipschitz mappingsDini smooth diffeomorphisms

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Coefficient problems for univalent and multivalent functions of one complex variable (30C50) Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions (31A20)

Related Items (9)

Close-to-harmonic extensions on the plane ⋮ Quasiconformal harmonic mappings and the curvature of the boundary ⋮ Landau theorem for planar harmonic mappings ⋮ Quasiconformal harmonic mappings with the convex holomorphic part ⋮ Unnamed Item ⋮ Coefficients estimate for harmonic \(v\)-Bloch mappings and harmonic \(K\)-quasiconformal mappings ⋮ Schwarz-Pick type estimates for gradients of pluriharmonic mappings of the unit ball ⋮ Angles and quasiconformal mappings between manifolds ⋮ A Harnack inequality on the boundary of the unit ball

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