Upper estimates for hyperbolic metrics on subdomains: the case of equality

DOI10.1080/17476933.2015.1038256zbMath1327.30050OpenAlexW1782249768MaRDI QIDQ3455406

Manabu Ito

Publication date: 4 December 2015

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

Full work available at URL: https://doi.org/10.1080/17476933.2015.1038256

zbMATH Keywords

Fuchsian grouphyperbolic metricSchwarz-Pick lemma

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35) Covering theorems in conformal mapping theory (30C25)

Cites Work

• Upper estimates for hyperbolic metrics on subdomains
• Yet another proof for a theorem of Landau on Koebe domains
• Lower estimates for hyperbolic metrics on subdomains

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