Boundary points as limit functions of iterated holomorphic function systems
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- by Kourosh Tavakoli PDF
- Proc. Amer. Math. Soc. 137 (2009), 1971-1976 Request permission
Abstract:
We show that if $c$ is a boundary point of a non-relatively compact subdomain of the unit disk, there always exists an iterated holomorphic function system with the constant $c$ as a limit function.References
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Additional Information
- Kourosh Tavakoli
- Affiliation: Department of Mathematics, The City University of New York Graduate Center, 365 Fifth Avenue, New York, New York 10016
- Address at time of publication: Department of Mathematics, Fordham University, 441 E. Fordham Road, Bronx, New York 10458
- Email: tavakoli@fordham.edu
- Received by editor(s): October 31, 2007
- Published electronically: January 27, 2009
- Communicated by: Jane M. Hawkins
- © Copyright 2009 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 137 (2009), 1971-1976
- MSC (2000): Primary 30D05; Secondary 30C35, 30C70, 30C75, 37F10
- DOI: https://doi.org/10.1090/S0002-9939-09-09683-X
- MathSciNet review: 2480278
Dedicated: This paper is dedicated to my mother.