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Extremal quasiconformal mappings with free boundary components in domains of arbitrary connectivity

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References

  1. Fehlmann, R.: Über extremale quasikonforme Abbildungen Comment. Math. Helv.56, 558–580 (1981)

    Google Scholar 

  2. Fehlmann, R.: Quasiconformal mappings with free boundary components. Ann. Acad. Sci. Fenn. Ser. A I Math.7, 337–347 (1982)

    Google Scholar 

  3. Grötzsch, H.: Das Kreisbogenschlitztheorem der konformen Abbildung schlichter Bereiche. Abh. Sächs. Akad. Wiss. Leipzig Math.-Natur. Kl.83, 238–253 (1931)

    Google Scholar 

  4. Letho, O., Virtanen, K.I.: Quasiconformal mappings in the plane. Berlin-Heidelberg-New York: Springer 1973

    Google Scholar 

  5. Reich, E.: Quasiconformal mappings of the disk with given boundary values. In: Proceedings of Seminars on Advances in Complex Function Theory (Maryland 1973/74), pp. 101–137. Lecture Notes in Math.505. Berlin-Heidelberg-New York: Springer 1976

    Google Scholar 

  6. Reich, E., Strebel, K.: Extremal quasiconformal mappings with given boundary values. Contributions to Analysis, a collection of papers dedicated to Lipman Bers, pp. 375–391. New York: Academic Press 1974

    Google Scholar 

  7. Reich, E., Warschawski, S.E.: On canonical conformal maps of regions of arbitrary connectivity. Pacific J. Math.10, 965–985 (1960)

    Google Scholar 

  8. Strebel, K.: Some convergence theorems for quasiconformal mappings. Lecture Notes Minneapolis 1969

  9. Strebel, K.: On the existence of extremal Teichmüller mappings. J. Analyse Math.30, 464–480 (1976)

    Google Scholar 

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Authors and Affiliations

  1. Mathematisches Institut der Universität Zürich, Rämistraße 74, CH-8001, Zürich, Switzerland

    Richard Fehlmann

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  1. Richard Fehlmann
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This work was done partly during a stay at the University of Minnesota, Minneapolis and partly at the University of Zürich where the author is supported by the Schweizerischer Nationalfonds zur Förderung der wissenschaftlichen Forschung

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Fehlmann, R. Extremal quasiconformal mappings with free boundary components in domains of arbitrary connectivity. Math Z 184, 109–126 (1983). https://doi.org/10.1007/BF01162010

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  • DOI: https://doi.org/10.1007/BF01162010

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