A reflection principle for the hyperbolic metric and applications to geometric function theory
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Publication:3697309
DOI10.1080/17476938708814225zbMath0576.30022OpenAlexW2066211495MaRDI QIDQ3697309
Publication date: 1987
Published in: Complex Variables, Theory and Application: An International Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17476938708814225
Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Riemann surfaces (30F99)
Related Items (17)
Applications of hyperbolic convexity to Euclidean and spherical convexity ⋮ Estimates of the hyperbolic metric on the twice punctured plane ⋮ Construction of nearly hyperbolic distance on punctured spheres ⋮ Metrics with conical singularities on the sphere and sharp extensions of the theorems of Landau and Schottky ⋮ Conformal images and the angle of parallelism ⋮ Ring domains with separating circles or separating annuli ⋮ A boundary version of Ahlfors' lemma, locally complete conformal metrics and conformally invariant reflection principles for analytic maps ⋮ Strong submultiplicativity of the Poincaré metric ⋮ Estimation of the hyperbolic metric by using the punctured plane ⋮ Mapping properties of nonlinear integral operators and pre-Schwarzian derivatives ⋮ On the existence of strips inside domains convex in one direction ⋮ Sharp lower bounds for the hyperbolic metric of the complement of a closed subset of the unit circle and theorems of Schwarz-Pick-, Schottky- and Landau-type for analytic functions ⋮ Harmonic measures, Green potentials and semigroups of holomorphic functions ⋮ Relative Riemann mapping criteria and hyperbolic convexity ⋮ Bounds on spherical derivatives for maps into regions with symmetries ⋮ Location of geodesics and isoperimetric inequalities in Denjoy domains ⋮ Truncating hyperbolic densities
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