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Hyperbolic convexity and the analytic fixed point function
Author(s):
Alexander
Yu.
Solynin
Journal:
Proc. Amer. Math. Soc.
135
(2007),
1181-1186.
MSC (2000):
Primary 30C55, 30F45
Posted:
October 18, 2006
MathSciNet review:
2262924
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Additional information
Abstract:
We answer a question raised by D. Mejía and Ch. Pommerenke by showing that the analytic fixed point function is hyperbolically convex in the unit disc.
References:
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- 1.
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Additional Information:
Alexander
Yu.
Solynin
Affiliation:
Department of Mathematics and Statistics, Texas Tech University, Box 41042, Lubbock, Texas 79409
Email:
alex.solynin@ttu.edu
DOI:
10.1090/S0002-9939-06-08661-8
PII:
S 0002-9939(06)08661-8
Keywords:
Analytic fixed point function,
hyperbolic convexity,
Riemann surface,
hyperbolic metric
Received by editor(s):
November 17, 2005
Posted:
October 18, 2006
Additional Notes:
This research was supported in part by NSF grant DMS-0412908
Communicated by:
Juha M. Heinonen
Copyright of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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