Skip to main content

Parametrization and boundary correspondence for Teichmüller mappings in an annulus

I Section Quasiconformal And Quasiregular Mappings. Teichmüller Spaces And Kleinian Groups

  • 367 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 743)

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   54.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   69.95
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. L.V. Ahlfors, Some remarks on Teichmüller’s space of Riemann surfaces, Ann. Math. 74 (1961), 171–191.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. R.S. Hamilton, Extremal quasiconformal mappings with preseribed boundary values, Trans. Amer. Math. Soc. 138 (1969), 339–406.

    CrossRef  Google Scholar 

  3. J. Ławrynowicz, On the parametrization of quasiconformal mappings in an annulus, Ann. Univ. Mariae Curie-Skłodowska Sect. A 18 (1964), 23–52.

    MathSciNet  MATH  Google Scholar 

  4. —, On arbitrary homotopies in parametrization theorems for quasiconformal mappings, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 20 (1972), 733–737.

    MathSciNet  MATH  Google Scholar 

  5. —, On the parametrization of quasiconformal mappings with invariant boundary points in the unit disc, ibid. 20 (1972), 739–744.

    MathSciNet  MATH  Google Scholar 

  6. —, On the parametrization of quasiconformal mappings with invariant boundary points in an annulus, Comment. Math. Helv. 47 (1972), 213–219.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. — in cooperation with J. Krzyż, The parametrical method for quasiconformal mappings in the plane, to appear.

    Google Scholar 

  8. O. Lehto und K.I. Virtanen, Quasikonforme Abbildungen (Grundlehren Math. Wissensch. 126), Springer-Verlag, Berlin-Heidelberg-New York 1973.

    MATH  Google Scholar 

  9. E. Reich and K. Strebel, On quasiconformal mappings which keep the boundary points fixed, Trans. Amer. Math. Soc. 138 (1969), 211–222.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. — und —, Einige Klassen Teichmüllerscher Abbildungen, die die Randpunkte festhalten, Ann. Acad. Sci. Fenn. Ser. A I 457 (1970), 19 pp.

    Google Scholar 

  11. E. Reich and K. Strebel, Extremal quasiconformal mappings with given boundary values, Bull. Amer. Math. Soc. 79 (1973), 488–490.

    CrossRef  MathSciNet  MATH  Google Scholar 

  12. K. Strebel, Zur Frage der Eindeutigkeit extremaler quasikonformer Abbildungen des Einheitskreises I–II, Comment. Math. Helv. 36 (1962), 306–329 and 39 (1964), 77–89.

    CrossRef  MathSciNet  MATH  Google Scholar 

  13. O. Teichmüller, Extremale quasikonforme Abbildungen und quadratische Differentiale, Abh. Preuss. Akad. Wiss. Math.-Naturwiss. Kl. 22 (1940), 197 pp.

    Google Scholar 

  14. —, Ein Verschiebungssatz der quasikonformen Abbildung, Deutsche Mathematik 7 (1944), 336–343.

    MathSciNet  MATH  Google Scholar 

  15. I.N. Vekua, Generalized analytic functions (Internat. Ser. Pure Appl. Math. 25), Pergamon Press, Oxford-London-New York-Paris 1962.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1979 Springer-Verlag

About this paper

Cite this paper

Ławrynowicz, J. (1979). Parametrization and boundary correspondence for Teichmüller mappings in an annulus. In: Cazacu, C.A., Cornea, A., Jurchescu, M., Suciu, I. (eds) Romanian-Finnish Seminar on Complex Analysis. Lecture Notes in Mathematics, vol 743. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0079490

Download citation

  • DOI: https://doi.org/10.1007/BFb0079490

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09550-7

  • Online ISBN: 978-3-540-34861-0

  • eBook Packages: Springer Book Archive