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| ON CRITERION OF THE EXTREMALITY AND CONSTRUCTION OF HAMILTON SEQUENCES FOR A CLASS OF TEICHMULLER MAPPINGS |
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Citation： |
WU Zemin,LAI Wancai.ON CRITERION OF THE EXTREMALITY AND CONSTRUCTION OF HAMILTON SEQUENCES FOR A CLASS OF TEICHMULLER MAPPINGS[J].Chinese Annals of Mathematics B,2000,21(3):339~342 |
| Page view： 1041
Net amount： 869 |
Authors： |
WU Zemin; LAI Wancai |
Foundation： |
Project supported by the National Natural Science Foundation of China (No.19531060), the Doctoral Program Fundation of the Ministry of Education of China (No.97024811) and the Fujian Provincial Natural Science Foundation of China (No.A96022). |
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| Abstract： |
It is proved that if $f$ is a Teichm\"uller self-mapping of the unit disk with a holomorphic quadratic differential $\varphi $, and $\varphi $ satisfies the growth condition $m(\varphi,r)=\frac{1}{2\pi}\int_{0}^{2\pi}|\varphi(re^{i\theta})|\,d\theta=o((1-r)^{-s}),\quad r\to1$, for any $s>1$, then $f$ is extremal, and there exists a sequence $\{t_n\}$, $0 |
Keywords： |
Teichmuller mapping, Extremality, Hamilton sequence |
Classification： |
30C70 |
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