A Schwarz lemma for meromorphic functions and estimates for the hyperbolic metric

DOI10.1090/S0002-9939-08-09309-XzbMath1151.30017OpenAlexW1995449039WikidataQ124881920 ScholiaQ124881920MaRDI QIDQ3522310

Alexander Yu. Solynin

Publication date: 1 September 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-08-09309-x

zbMATH Keywords

polarizationreduced module

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Covering theorems in conformal mapping theory (30C25)

Related Items (7)

Growth theorems for holomorphic functions under geometric conditions for the image ⋮ Geometric versions of Schwarz’s lemma for spherically convex functions ⋮ Geometric versions of Schwarz's lemma and symmetrization ⋮ Upper and lower estimates for the modulus of bounded holomorphic functions ⋮ Multi-point bounds for analytic functions under measure conditions ⋮ Isoperimetry for semilinear torsion problems in Riemannian two-manifolds ⋮ The Schwarz Lemma: Rigidity and Dynamics

Cites Work

• Solution of a Pólya-Szegö isoperimetric problem
• Area, capacity and diameter versions of Schwarz’s Lemma
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)
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