By Kraus D.
A boundary model of Ahlfors' Lemma is proven and used to teach that the classical Schwarz-Carathéodory mirrored image precept for holomorphic services has a in basic terms conformal geometric formula when it comes to Riemannian metrics. This conformally invariant mirrored image precept generalizes evidently to analytic maps among Riemann surfaces and includes between different effects a characterization of finite Blaschke items as a result of M. Heins.
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Extra resources for A boundary version of Ahlfors` lemma, locally complete conformal metrics and conformally invariant reflection principles for analytic maps
Proc. Cambridge Phil. Soc. 130 (2001), 353–364.  O. Frostman, Sur les produits de Blaschke, Fysiogr. S¨allsk. Lund F¨orh. 12 (1942), 169–182.  D. Gilbarg and N. S. Trudinger, Elliptic Partial Differential Equations of Second Order, SpringerVerlag, Berlin–New York, 1997.  M. Heins, On a class of conformal metrics, Nagoya Math. J. 21 (1962), 1–60.  M. Heins, Some characterizations of finite Blaschke products of positive degree, J. Analyse Math. 46 (1986), 162–166.  M. Heins, A note concerning the lemma of Julia–Wolff–Carath´eodory, Ann.
1) holds for every ξ ∈ Γ. 1. 4 (Bland’s boundary Schwarz Lemma). Let Ω ⊆ be a domain and let Γ be a smooth subset of ∂Ω. Further, let λ(z) |dz| be a regular conformal metric on Ω with κλ ≥ −cλ , and let µ(z) |dz| be a regular conformal pseudo-metric on Ω with κµ ≤ −Cµ for some positive constants cλ and Cµ . If λ(z) |dz| is locally complete near Γ, then Cµ λ(z) lim inf ≥ z→ξ µ(z) cλ for every ξ ∈ Γ. 5. 4 is just a very special case of Bland’s boundary Schwarz Lemma (which in its original form applies to higher dimensional situations).
38 (1977), 73–82.  D. Minda, The strong form of Ahlfors’ lemma, Rocky Mountain J. Math. 17 (1987), 457–461.  D. Minda, A reflection principle for the hyperbolic metric and applications to geometric function theory, Complex Variables Theory Appl. 8 (1987), 129–144.  Ch. Pommerenke, Boundary Behaviour of Conformal Maps, Springer-Verlag, Berlin, 1992.  O. Roth, A general conformal geometric reflection principle, Trans. Amer. Math. , to appear.  H. L. Royden, The Ahlfors–Schwarz Lemma: the case of equality, J.