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Hamilton sequences for extremal quasiconformal mappings in the unit disk

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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.

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References

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Authors and Affiliations

  1. School of Mathematical Sciences, Peking University, 100871, Beijing, China

    Shengjian Wu

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  1. Shengjian Wu
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Project supported by the National Natural Science Foundation of China (Grant No. 19871002).

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Wu, S. Hamilton sequences for extremal quasiconformal mappings in the unit disk. Sci. China Ser. A-Math. 42, 1032–1038 (1999). https://doi.org/10.1007/BF02889504

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  • DOI: https://doi.org/10.1007/BF02889504

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