Skip to main content
SpringerLink
Log in

Extremal quasiconformal mappings: Necessary conditions

  • Published:
Journal d’Analyse Mathématique Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. L. Ahlfors,On quasiconformal mappings, J. Analyse Math.3 (1953/54), 1–58.

    Article  MathSciNet  Google Scholar 

  2. R. S. Hamilton,Extremal quasiconformal mappings with prescribed boundary values, Trans. Amer. Math. Soc.138 (1969), 399–406.

    Article  MATH  MathSciNet  Google Scholar 

  3. A. Harrington and M. Ortel,Two extremal problems, Problems, Trans. Amer. Math. Soc.221 (1976), 159–167.

    Article  MATH  MathSciNet  Google Scholar 

  4. A. Harrington and M. Ortel,The dilatation of an extremal quasiconformal mapping, Duke Math. J.43 (1976), 533–544.

    Article  MATH  MathSciNet  Google Scholar 

  5. E. Reich,Quasiconformal mappings of the disk with given boundary values, Notes of lectures at the University of Maryland, December 1973 (to appear as part of a Springer Lecture Notes volume).

  6. E. Reich,An extremum problem for analytic functions with area norm, to appear in a volume dedicated to R. Nevanlinna.

  7. E. Reich and K. Strebel,Extremal quasiconformal mappings with given boundary values, Notes Forschungsinstitut für Mathematik ETH Zürich, September 1972.

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

    Google Scholar 

  9. K. Strebel,On quadratic differentials and extremal quasiconformal mappings, International Congress, Vancouver, 1974.

  10. O. Teichmüller,Extremale quasikonforme Abbildungen und quadratische Differentiale. Abh. Preuss. Akad. Wiss., Math. Natur. Kl., No. 22, 1939.

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, The Pennsylvania State University, University Park, Pennsylvania, USA

    Charles Belna & Marvin Ortel

Authors
  1. Charles Belna
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Marvin Ortel
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Belna, C., Ortel, M. Extremal quasiconformal mappings: Necessary conditions. J. Anal. Math. 33, 1–11 (1978). https://doi.org/10.1007/BF02790166

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02790166

Keywords

Search

Navigation