References
Agard, S., An extremal problem in quasiconformal mappings.Duke Math. J., 33 (1966), 735–741.
Ahlfors, L. V., Extension of quasiconformal mappings from two to three dimensions.Proc. Nat. Acad. Sci. USA, 51 (1964), 768–771.
—, The modular function and geometric properties of quasiconformal mappings.Proc. Conf. Compl. Anal. (Minneapolis, 1964), Springer, Berlin, 1965, 296–300.
Jaenisch, S., Über die Approximierbarkeit quasikonformer Abbildungen der Ebene mittels stückweiser Linearisierung.Mitt. Math. Sem. Giessen, 79 (1968), 29–53.
Lehto, O. &Virtanen, K. I., Quasikonforme Abbildungen. Springer, Berlin, 1965.
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Jaenisch, S. The subset of piecewise-linear mappings is dense in the space ofK-quasiconformal mappings of the plane. Acta Math. 122, 265–272 (1969). https://doi.org/10.1007/BF02392013
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DOI: https://doi.org/10.1007/BF02392013