Skip to main content

A generalization of the quasiconformality

Part of the Lecture Notes in Mathematics book series (LNM,volume 419)

Keywords

  • Riemann Surface
  • Quasiconformal Mapping
  • Socialist Republic
  • Ideal Boundary
  • Extremal Length

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
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. Anlfors, L. V., and L. Sario: Riemann surfaces.-Princeton mathematical series 26. Princeton University Press, Princeton (N.J.), 1960.

    CrossRef  Google Scholar 

  2. Andreian Cazacu, Cabiria: Sur les relations entre les fonctions caractéristiques de la pseudo-analyticité.-LucrĂrile celui de-al IV-lea congres al matematicienilor romîni, pp.82–85. Éditions de l'Académie de la République Populaire Roumaine, Bucureşti, 1960.

    Google Scholar 

  3. -"-Sur les transformations pseudo-analytiques.-Rev. Math. Pures Appl. 2, 1957, pp.383–397.

    MathSciNet  MATH  Google Scholar 

  4. -"-О квазиконформных отображениях.-Докл. Акад. Наук СССР 126, 1959, pp.235–238.

    MathSciNet  Google Scholar 

  5. -"-Überlagerungseigenschaften Riemannscher Flächen.-Rev. Math. Pures Appl. 6, 1961, pp.685–701.

    MathSciNet  MATH  Google Scholar 

  6. -"-Sur un problème de L. I. Volkovyski.-Rev. Roumaine Math. Pures Appl. 10, 1965, pp.43–63.

    MathSciNet  Google Scholar 

  7. Andreian Cazacu, Cabiria: Bemerkungen über den Begriff der quasikonformen Abbildung.-Math. Nachr. 40, 1969, pp.27–42.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. -"-: Influence of the orientation of the characteristic ellipses on the properties of the quasiconformal mappings.-Proceedings of the Romanian-Finnish seminar on Teichmüller spaces and quasiconformal mappings (Braşov, Romania, 1969), pp.65–85. Publishing House of the Academy of the Socialist Republic of Romania, [Bucureşti], 1971.

    Google Scholar 

  9. -"-: Some formulae on the extremal length in n-dimensional case.-Ibidem, pp.87–102. Publishing House of the Academy of the Socialist Republic of Romania, [Bucureşti], 1971.

    Google Scholar 

  10. Juve, Y.: Über gewisse Verzerrungseigenschaften konformer und quasikonformer Abbildungen.-Ann. Acad. Sci. Fenn. A.I. 174, 1954.

    Google Scholar 

  11. Lehto, O.: Remarks on generalized Beltrami equations and conformal mappings.-Proceedings of the Romanian-Finnish seminar on Teichmüller spaces and quasiconformal mappings (Braşov, Romania, 1969), pp.203–214. Publishing House of the Academy of the Socialist Republic of Romania, [Bucureşti], 1971.

    Google Scholar 

  12. Lehto, O., and K. I. Virtanen: Quasikonforme Abbildungen.-Die Grundlehren der mathematischen Wissenschaften 126. Springer-Verlag, Berlin / Heidelberg / New York, 1965.

    CrossRef  MATH  Google Scholar 

  13. Nevanlinna, R.: Eindeutige analytische Funktionen.-Die Grundlehren der mathematischen Wissenschaften 46. Verlag von Julius Springer, Berlin, 1936. Zweite verbesserte Auflage: Springer-Verlag, Berlin / Göttingen / Heidelberg, 1953.

    CrossRef  MATH  Google Scholar 

  14. -"-Analytic functions.-Die Grundlehren der mathematischen Wissenschaften 162. Springer-Verlag, Berlin / Heidelberg / New York, 1970. [Revised translation of [13], 2nd edition.]

    CrossRef  MATH  Google Scholar 

  15. -"-Uniformisierung.-Die Grundlehren der mathematischen Wissenschaften 64. Springer-Verlag, Berlin / Göttingen / Heidelberg, 1953.

    CrossRef  MATH  Google Scholar 

  16. -"-A remark on differentiable mappings.-Michigan Math. J. 3, 1956, pp.53–57.

    MathSciNet  MATH  Google Scholar 

  17. -"-Theorie der Riemannschen Flächen.-Die Grundlehren der mathematischen Wissenschaften 89. Springer-Verlag, Berlin / Göttingen / Heidelberg, 1957.

    Google Scholar 

  18. Sario, L., and M. Nakai: Classification theory of Riemann surfaces.-Die Grundlehren der mathematischen Wissenschaften 164. Springer-Verlag, Berlin / Heidelberg / New York, 1970.

    CrossRef  MATH  Google Scholar 

  19. Sario, L., and K. Oikawa: Capacity functions.-Die Grundlehren der mathematischen Wissenschaften 149. Springer-Verlag, Berlin / Heidelberg / New York, 1969.

    CrossRef  MATH  Google Scholar 

  20. Stoïlow, S.: Sur les transformations continues et la topologie des fonctions analytiques.-Ann. Sci. Ecole Norm. Sup. (3) 45, 1928, pp.347–382.

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1974 Springer-Verlag

About this paper

Cite this paper

Cazacu, C.A. (1974). A generalization of the quasiconformality. In: Lehto, O., Louhivaara, I.S., Nevanlinna, R. (eds) Topics in Analysis. Lecture Notes in Mathematics, vol 419. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0064706

Download citation

  • DOI: https://doi.org/10.1007/BFb0064706

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06965-2

  • Online ISBN: 978-3-540-37907-2

  • eBook Packages: Springer Book Archive