Abstract
Let B be a domain ⊂ℂ that supports nonconstant bounded analytic functions, let pe B. In [1] S.Fisher posed the question: Does the Ahlforsfunction for B and p map a maximal B onto the unit disc D? We give an example of a maximal B such that in B F(z) omits two values of D.
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Röding, E. Über die Wertannahme der Ahlfors Funktion in beliebigen Gebieten. Manuscripta Math 20, 133–140 (1977). https://doi.org/10.1007/BF01170721
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DOI: https://doi.org/10.1007/BF01170721