Boundary Behavior of the Riemann Mapping Function of Asymptotically Conformal Curves.
Stefan E. Warschawski, Frank D. Lesley (1982)
Mathematische Zeitschrift
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Stefan E. Warschawski, Frank D. Lesley (1982)
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Balkan Journal of Geometry and its Applications (BJGA)
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Gollakota V. V. Hemasundar (2011)
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We give a complete and transparent proof of Koebe's General Uniformisation Theorem that every planar Riemann surface is biholomorphic to a domain in the Riemann sphere ℂ̂, by showing that a domain with analytic boundary and at least two boundary components on a planar Riemann surface is biholomorphic to a circular-slit annulus in ℂ.
Ricardo Abreu Blaya, Juan Bory Reyes (1998)
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Probability Surveys [electronic only]
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We considerably improve our earlier results [Ann. Inst. Fourier, 24-4 (1974] concerning Cauchy-Read’s theorems, convergence of Green lines, and the structure of invariant subspaces for a class of hyperbolic Riemann surfaces.