Skip to main content
Log in

Quasiconformal mappings and radii of normal systems of neighborhoods

  • Brief Communications
  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

We establish a new geometric criterion for plane homeomorphisms to belong to the class ofq-quasiconforrnal mappings.

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

Access this article

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

Instant access to the full article PDF.

References

  1. D. E. Men’shov, “Sur une generalisation d’un théorém de M. H. Bohr,”Mat. Sb.,2, 339–356 (1937).

    Google Scholar 

  2. P. P. Belinskii,General Properties of Quasiconformal Mappings [in Russian], Nauka, Novosibirsk (1974).

    Google Scholar 

  3. Yu. G. Reshetnyak,Space Mappings with Bounded Distortion [in Russian], Nauka, Novosibirsk (1982).

    Google Scholar 

  4. J. Vaisala,Lectures on n-dimensional Quasiconformal Mappings, Lecture Notes in Math., Springer, Berlin-New York (1971).

    Google Scholar 

  5. V. S. Kud’yavin, “Quasiconformal mappings and α-moduli of families of curves,”Dokl. Akad. Nauk Ukr. SSR, Ser. A, No. 7, 11–13 (1992).

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 11, pp. 1566–1568, November, 1999.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gol’berg, A.L. Quasiconformal mappings and radii of normal systems of neighborhoods. Ukr Math J 51, 1769–1772 (1999). https://doi.org/10.1007/BF02525262

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02525262

Keywords

Navigation