Hyperbolic geometric versions of Schwarz’s lemma
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Publication:5248042
DOI10.1090/S1088-4173-2013-00260-9zbMath1321.30014WikidataQ124947947 ScholiaQ124947947MaRDI QIDQ5248042
Publication date: 27 April 2015
Published in: Conformal Geometry and Dynamics of the American Mathematical Society (Search for Journal in Brave)
Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Spaces of bounded analytic functions of one complex variable (30H05) Capacity and harmonic measure in the complex plane (30C85)
Related Items (5)
Length and area estimates for (hyperbolically) convex conformal mappings ⋮ Conformal mapping, convexity and total absolute curvature ⋮ Geometric versions of Schwarz’s lemma for spherically convex functions ⋮ Equality case for an elliptic area condenser inequality and a related Schwarz type lemma ⋮ Conformal capacity of hedgehogs
Cites Work
- Geometric versions of Schwarz's lemma and symmetrization
- Condenser capacity and meromorphic functions
- On the preservation of conformal capacity under meromorphic functions
- Isoperimetry for semilinear torsion problems in Riemannian two-manifolds
- On hyperbolic capacity and hyperbolic length
- Area inequality and \(Q_{p}\) norm
- A multi-point Schwarz-Pick lemma
- Inequalities for condensers, hyperbolic capacity, and extremal lengths
- Geometric versions of Schwarz’s lemma for quasiregular mappings
- Volume integral means of holomorphic functions
- Multi-point variations of the Schwarz lemma with diameter and width conditions
- Monotonicity theorems for analytic functions centered at infinity
- Length and area inequalities for the derivative of a bounded and holomorphic function
- Area, capacity and diameter versions of Schwarz’s Lemma
- Versions of Schwarz's Lemma for Condenser Capacity and Inner Radius
- Isoperimetric Inequalities in Mathematical Physics. (AM-27)
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