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A remark on the image of the Ahlfors function

Author: Akira Yamada
Journal: Proc. Amer. Math. Soc. 88 (1983), 639-642
MSC: Primary 30C85
MathSciNet review: 702291
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Abstract: Let $ \Omega $ denote a planar maximal region for bounded holomorphic functions and $ p \in \Omega $. By an example we show that the complement in the unit disc of the image of the Ahlfors function for $ \Omega $ and $ p$ can be a fairly general set of logarithmic capacity zero.

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Keywords: Ahlfors function, logarithmic capacity
Article copyright: © Copyright 1983 American Mathematical Society

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