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John disks and extension of maps

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Abstract

We show that a quasisymmetric map between the boundaries of two John disks can be extended to a quasiconformal map of the extended plane. Additional results on John disks are also given.

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Ghamsari, M., Näkki, R. & Väisalä, J. John disks and extension of maps. Monatshefte für Mathematik 117, 63–94 (1994). https://doi.org/10.1007/BF01299312

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