Skip to main content
Log in

Isoperimetric properties of the module and quasiconformal mappings

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

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.

Literature Cited

  1. M. Ohtsuka, Dirichlet Problem, Extremal Length and Prime Ends, Van Nostrand Reinhold, New York (1967).

    Google Scholar 

  2. A. S. Kronrod, “Functions of two variables,” Usp. Mat. Nauk,5, No. 1, (35), 24–134 (1950).

    Google Scholar 

  3. Ju. Väisälä, “Lectures on n-dimensional quasiconformal mappings,” Lect. Notes Math.,229, 1–114 (1971).

    Google Scholar 

  4. H. Federer, “Curvature measures,” Trans. Am. Math. Soc.,93, No. 3, 418–491 (1959).

    Google Scholar 

  5. G. P. Toletov, Measure and Integral [in Russian], Nauka, Moscow (1976).

    Google Scholar 

  6. V. K. Ionin and G. D. Suvorov, “Components of level sets of the function of distance to the plane continuum,” Dokl. Akad. Nauk SSSR,129, No. 3, 496–498 (1959).

    Google Scholar 

  7. Yu. G. Reshetnyak, “A generalization of convex surfaces,” Mat. Sb.,40 (82, No. 3, 381–398 (1956).

    Google Scholar 

  8. L. V. Ahlfors, “Conformal invariants,” in: Topics in Geometric Functions Theory, McGraw-Hill, New York (1973).

    Google Scholar 

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

    Google Scholar 

Download references

Authors

Additional information

Novosibirsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 27, No. 4, pp. 152–160, July–August, 1986.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chinak, M.A. Isoperimetric properties of the module and quasiconformal mappings. Sib Math J 27, 591–598 (1986). https://doi.org/10.1007/BF00969172

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00969172

Keywords

Navigation