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Hamilton sequences for extremal quasiconformal mappings in the unit disk
Authors:Shengjian Wu
Affiliation:(1) School of Mathematical Sciences, Peking University, 100871 Beijing, China
Abstract:By studying the mapping by heights for quadratic differentials introduced by Strebel, some relations have been established between the maximal norm sequence for quasisymmetric functions and the Hamilton sequence for extremal quasiconformal mappings in the unit disk. Consequently it is proved that a Hamilton sequence is only determined by e quasisymmetric function. Project supported by the National Natural Science Foundation of China (Grant No. 19871002).
Keywords:quasiconformal mapping  Hamilton sequence  quadratic differentials
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