Fixed points of univalent functions II
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- by Gerald Schmieder PDF
- 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.References
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Additional Information
- Gerald Schmieder
- Affiliation: Fakultät V, Institut für Mathematik, Universität Oldenburg, D-26111 Oldenburg, Germany
- Received by editor(s): December 14, 2004
- Received by editor(s) in revised form: June 30, 2005
- Published electronically: June 9, 2006
- Communicated by: Juha M. Heinonen
- © Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 134 (2006), 3605-3611
- MSC (2000): Primary 30C35, 30D40
- DOI: https://doi.org/10.1090/S0002-9939-06-08442-5
- MathSciNet review: 2240673
Dedicated: To my friend Masakazu Shiba on the occasion of his 60th birthday