Local boundary dilatation of quasiconformal maps in the disk
HTML articles powered by AMS MathViewer
- by Guizhen Cui and Yi Qi PDF
- Proc. Amer. Math. Soc. 130 (2002), 1383-1389 Request permission
Abstract:
In this paper we partly give an affirmative answer to a problem proposed by F. Gardiner and N. Lakic by studying the gluing of quasiconformal maps.References
- G. Cui, Geometrically finite rational maps with given combinatorics, Preprint, Nov., 1999.
- Clifford J. Earle and Curt McMullen, Quasiconformal isotopies, Holomorphic functions and moduli, Vol. I (Berkeley, CA, 1986) Math. Sci. Res. Inst. Publ., vol. 10, Springer, New York, 1988, pp. 143–154. MR 955816, DOI 10.1007/978-1-4613-9602-4_{1}2
- Richard Fehlmann, Über extremale quasikonforme Abbildungen, Comment. Math. Helv. 56 (1981), no. 4, 558–580 (German). MR 656212, DOI 10.1007/BF02566227
- Frederick P. Gardiner, Teichmüller theory and quadratic differentials, Pure and Applied Mathematics (New York), John Wiley & Sons, Inc., New York, 1987. A Wiley-Interscience Publication. MR 903027
- Frederick P. Gardiner and Nikola Lakic, Quasiconformal Teichmüller theory, Mathematical Surveys and Monographs, vol. 76, American Mathematical Society, Providence, RI, 2000. MR 1730906, DOI 10.1090/surv/076
- Olli Lehto, Univalent functions and Teichmüller spaces, Graduate Texts in Mathematics, vol. 109, Springer-Verlag, New York, 1987. MR 867407, DOI 10.1007/978-1-4613-8652-0
- Li, Z., Quasiconformal mappings with applications to Riemann surfaces (in Chinese), Science Press (1988).
- Reich E. and Strebel K. Extremal quasiconformal mapping with given boundary values, Bull. Amer. Math. Soc. 79 (1973), 488-490.
- Kurt Strebel, On the existence of extremal Teichmueller mappings, J. Analyse Math. 30 (1976), 464–480. MR 440031, DOI 10.1007/BF02786734
Additional Information
- Guizhen Cui
- Affiliation: Institute of Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China
- Email: gzcui@math08.math.ac.cn
- Yi Qi
- Affiliation: Institute of Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China
- Address at time of publication: Department of Applied Mathematics, Beijing University of Aeronautics and Astronautics, Beijing 100083, China
- Email: qiyi@math03.math.ac.cn, yiqi1@yahoo.com
- Received by editor(s): November 8, 2000
- Published electronically: October 17, 2001
- Additional Notes: This work was supported by the NSF Grant 19871084 and 19901032 of China and the China Postdoctoral Science Foundation
- Communicated by: Juha Heinonen
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 1383-1389
- MSC (2000): Primary 30F60; Secondary 32G15
- DOI: https://doi.org/10.1090/S0002-9939-01-06353-5
- MathSciNet review: 1879961