Schwarz lemma, and distortion for harmonic functions via length and area

DOI10.1007/S11118-019-09802-XzbMath1451.30049arXiv1805.02979OpenAlexW3004677739WikidataQ124838402 ScholiaQ124838402MaRDI QIDQ2006370

Miodrag S. Mateljević

Publication date: 8 October 2020

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.02979

zbMATH Keywords

Schwarz lemmahyperbolic distanceharmonic functionsquasiconformal mappingsholomorphic functions

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45)

Related Items (8)

Boundary Schwarz lemma for harmonic and pluriharmonic mappings in the unit ball ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Boundary Schwarz lemma and rigidity property for holomorphic mappings of the unit polydisc in Cn ⋮ A boundary Schwarz lemma for pluriharmonic mappings between the unit polydiscs of any dimensions ⋮ Note on some classes of holomorphic functions related to Jack’s and Schwarz’s lemma

Cites Work

• Unnamed Item
• Unnamed Item
• A Schwarz lemma for harmonic and hyperbolic-harmonic functions in higher dimensions
• A sharp inequality for harmonic diffeomorphisms of the unit disk
• Schwarz lemma and Kobayashi metrics for harmonic and holomorphic functions
• The Schwarz-Pick lemma and Julia lemma for real planar harmonic mappings
• Carathéodory and Smirnov type theorems for harmonic mappings of the unit disk onto surfaces
• An Extremal Problem for Harmonic Functions in the Ball
• On harmonic functions and the Schwarz lemma
• Quasiconformal and Lipschitz harmonic mappings of the unit disk onto bounded convex domains

This page was built for publication: Schwarz lemma, and distortion for harmonic functions via length and area