Literatur
Bers, L.,Quasiconformal mappings and Teichmüller's theorem. Analytic Functions. Princeton University Press, Princeton, N.J. (1960), 89–119.
Beurling, A. andAhlfors, L. V.,The boundary correspondence under quasiconformal mappings. Acta Math.96 (1956), 125–142.
Hamilton, R.,Extremal quasiconformal mappings with prescribed boundary values. Trans. Amer. Math. Soc.138 (1969), 399–406.
Kelingos, J. A.,Boundary correspondence under quasiconformal mappings. Michigan Math. Journal,13 (1966), 235–249.
Lehner, J.,A short course in automorphic functions. Holt, Rinehart and Winston, New York (1966).
Lehto, O.,Group isomorphisms induced by quasiconformal mappings. Contributions to Analysis (1974).
Lehto, O., undVirtanen, K. I.,Quasikonforme Abbildungen. Springer Verlag, Berlin-Heidelberg-New York (1965).
Ortel, M.,Quasiconformal mappings, extremal for their boundaryvalues. Preprint.
Reich, E.,On the relation between local and global properties of boundary values for extremal quasiconformal mappings. Annals of Math. Studies79 (1974), 391–407.
Reich, E. andStrebel, K.,Extremal quasiconformal mappings with given boundary values. Contributions to Analysis. A Collection of Papers Dedicated to Lipman Bers. Academic Press, New York and London (1974).
Sethares, G. C.,The extremal property of certain Teichmüller mappings. Comment. Math. Helv.45 (1970), 353–362.
Strebel, K.,Zur Frage der Eindeutigkeit extremaler quasikonformer Abbildungen des Einheitskreises II. Comment. Math. Helv.39 (1964), 77–89.
Strebel, K.,Ueber quadratische Differentiale mit geschlossenen Trajektorien und extremale quasikonforme Abbildungen. Festband zum 70. Geburtstag von Prof. Rolf Nevanlinna. Springer Verlag, Berlin-Heidelberg-New York (1966), 105–127.
Strebel, K.,On the existence of extremal Teichmüller mappings. Journal d'analyse Math.30 (1976), 464–480.
Strebel, K.,Quadratic Differentials. Erscheint demnächst in: Ergebnisse der Mathematik.
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Fehlmann, R. Ueber extremale quasikonforme Abbildungen. Commentarii Mathematici Helvetici 56, 558–580 (1981). https://doi.org/10.1007/BF02566227
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DOI: https://doi.org/10.1007/BF02566227