A remark on the image of the Ahlfors function

Yamada, Akira

doi:10.1090/S0002-9939-1983-0702291-6

A remark on the image of the Ahlfors function
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Proc. Amer. Math. Soc. 88 (1983), 639-642 Request permission

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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