Landau theorem for planar harmonic mappings

DOI10.1007/s11785-015-0449-8zbMath1329.31002OpenAlexW2030758704MaRDI QIDQ889969

Jian-Feng Zhu

Publication date: 9 November 2015

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-015-0449-8

zbMATH Keywords

Bloch constantharmonic mappingPoisson formulaLandau theorem

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Quasiconformal mappings in the complex plane (30C62)

Related Items (7)

On the univalence of poly-analytic functions ⋮ Quasiconformal harmonic mappings and the curvature of the boundary ⋮ Precise values of the Bloch constants of certain log-\(p\)-harmonic mappings ⋮ Landau-Bloch type theorems for certain subclasses for polyharmonic mappings ⋮ Quasiconformal harmonic mappings with the convex holomorphic part ⋮ Landau-type theorems for certain bounded biharmonic mappings ⋮ The Landau-Bloch type theorems for planar harmonic mappings with bounded dilation

Cites Work

• Unnamed Item
• Unnamed Item
• Some estimates for harmonic mappings with given boundary function
• On Bloch's constant
• Über die Blochsche Konstante. (On the Bloch constant)
• On Bloch's Constant
• Bloch constants for planar harmonic mappings
• A variant of Schwarz-Pick lemma for planar harmonic mappings
• Radius of close-to-convexity and fully starlikeness of harmonic mappings
• Estimates on Bloch constants for planar harmonic mappings

This page was built for publication: Landau theorem for planar harmonic mappings