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Note on Schwarz-Pick estimates for bounded and positive real part analytic functions
Author(s):
Shaoyu
Dai;
Yifei
Pan
Journal:
Proc. Amer. Math. Soc.
136
(2008),
635-640.
MSC (2000):
Primary 30C80
Posted:
November 3, 2007
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Abstract:
In this note we consider higher order derivatives of bounded analytic functions.
References:
-
- [1]
- B. MACCLUER, K. STROETHOFF AND R. ZHAO, Generalized Schwarz-Pick estimates, Proc. A. M. S, 131 (2002), 593-599. MR 1933351 (2003g:30038)
- [2]
- P. GHATAGE AND DECHAO ZHENG, Hyperbolic derivatives and Generalized Schwarz-Pick estimates, Proc. A. M. S, 132 (2004), 3309-3318. MR 2073307 (2005e:30039)
- [3]
- P. L. DUREN, Univalent functions, Springer (2001). MR 708494 (85j:30034)
- [4]
- H. BOAS, AND D. KHAVINSON, Bohr's power series theorem in several variables, Proc. Amer. Math. Soc. 125 (1997), no. 10, 2975-2979. MR 1443371 (98i:32002)
- [5]
- Y. Pan, and S. Liao, On the derivative of bounded analytic functions, Journal of Jiangxi Normal University (1984) 1 21-24.
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Additional Information:
Shaoyu
Dai
Affiliation:
General Study Program, Jinling Institute of Technology, Nanjing, People's Republic of China
Email:
dymdsy@163.com
Yifei
Pan
Affiliation:
School of Mathematics and Informatics, Jiangxi Normal University, Nanchang, People's Republic of China; and Department of Mathematical Sciences, Indiana University - Purdue University Fort Wayne, Fort Wayne, Indiana 46805-1499
Email:
pan@ipfw.edu
DOI:
10.1090/S0002-9939-07-09064-8
PII:
S 0002-9939(07)09064-8
Received by editor(s):
October 19, 2006
Received by editor(s) in revised form:
January 2, 2007
Posted:
November 3, 2007
Additional Notes:
We thank the referee for his or her valuable comments to this paper
Dedicated:
Dedicated to Professor Hu Ke on the occasion of his eighty-sixth birthday
Communicated by:
Joseph A. Ball
Copyright of article:
Copyright
2007,
American Mathematical Society
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