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Boundary points as limit functions of iterated holomorphic function systems

Author(s): Kourosh Tavakoli
Journal: Proc. Amer. Math. Soc. 137 (2009), 1971-1976.
MSC (2000): Primary 30D05; Secondary 30C35, 30C70, 30C75, 37F10
Posted: January 27, 2009
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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.

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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

DOI: 10.1090/S0002-9939-09-09683-X
PII: S 0002-9939(09)09683-X
Keywords: Iterated function system, non-relatively compact, holomorphic map
Received by editor(s): October 31, 2007
Posted: January 27, 2009
Dedicated: This paper is dedicated to my mother.
Communicated by: Jane M. Hawkins
Copyright of article: Copyright 2009, American Mathematical Society

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