Fixed points of univalent functions II

Schmieder, Gerald

doi:10.1090/S0002-9939-06-08442-5

Fixed points of univalent functions II
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Proc. Amer. Math. Soc. 134 (2006), 3605-3611 Request permission

Abstract:

For a closed nowhere dense subset $C$ of $\partial \mathbb {D}$ a bounded univalent holomorphic function $f$ on $\mathbb {D}$ is found such that $C$ equals the cluster set of its fixed points.

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