Schwarz lemma for harmonic mappings into a geodesic line in a Riemann surfaces

DOI10.1080/17476933.2020.1720004zbMath1502.30077OpenAlexW3005511658WikidataQ124795860 ScholiaQ124795860MaRDI QIDQ5856324

David Kalaj

Publication date: 25 March 2021

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2020.1720004

zbMATH Keywords

harmonic mappingssubharmonic functions

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Harmonic functions on Riemann surfaces (30F15)

Related Items (1)

Schwarz lemma for real harmonic functions onto surfaces with non-negative Gaussian curvature

Cites Work

• On harmonic functions and the hyperbolic metric
• On one-to-one harmonic mappings
• Harmonic maps between surfaces (with a special chapter on conformal mappings)
• Inner estimate and quasiconformal harmonic maps between smooth domains
• A new variant of the Schwarz-Pick-Ahlfors lemma
• Schwarz Pick type inequalities for harmonic maps between Riemann surfaces
• On harmonic functions and the Schwarz lemma
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