On harmonic functions on surfaces with positive Gauss curvature and the Schwarz lemma

DOI10.1216/RMJ-2014-44-5-1585zbMath1303.31006WikidataQ124828713 ScholiaQ124828713MaRDI QIDQ485879

David Kalaj

Publication date: 14 January 2015

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1420071554

zbMATH Keywords

Schwarz lemmaharmonic functionsGauss curvature

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Harmonic, subharmonic, superharmonic functions on other spaces (31C05)

Related Items (4)

Quasihyperbolic quasi-isometry and Schwarz lemma of planar flat harmonic mappings ⋮ Schwarz lemma and boundary Schwarz lemma for pluriharmonic mappings ⋮ Schwarz lemma for real harmonic functions onto surfaces with non-negative Gaussian curvature ⋮ Schwarz-Pick type estimates for gradients of pluriharmonic mappings of the unit ball

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Inner estimate and quasiconformal harmonic maps between smooth domains
• A Schwarz lemma for harmonic and hyperbolic-harmonic functions in higher dimensions
• Close-to-convex schlicht functions
• A Schwarz lemma for the modulus of a vector-valued analytic function
• On harmonic functions and the Schwarz lemma

This page was built for publication: On harmonic functions on surfaces with positive Gauss curvature and the Schwarz lemma