Ahlfors functions on Denjoy domains

Yamada, Akira

doi:10.1090/S0002-9939-1992-1116275-5

Ahlfors functions on Denjoy domains
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by Akira Yamada

Proc. Amer. Math. Soc. 115 (1992), 757-763

DOI: https://doi.org/10.1090/S0002-9939-1992-1116275-5

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Abstract:

Let $\Delta$ be the open unit disc. We give a characterization of a set that is the complement in $\Delta$ of the image of the Ahlfors function for some maximal Denjoy domain and $\infty$. As a corollary, we show by an example that there exists such a set with positive logarithmic capacity.

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