Skip to main content
SpringerLink
Log in

Constructive presentation of classes of harmonic functions with singularities on a quasiconformal arc

  • Published:
Ukrainian Mathematical Journal 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

Literature cited

  1. L. V. Ahlfors, Lectures on Quasiconformal Mappings, Van Nostrand, Princeton (1966).

    Google Scholar 

  2. V. K. Dzyadyk, Introduction to the Theory of Uniform Approximation of Functions by Polynomials [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  3. V. V. Andrievskii, “Direct theorems of the theory of approximation on quasiconformal arcs,” Izv. Akad. Nauk SSSR, Ser. Mat.,44, No. 2, 243–261 (1980).

    Google Scholar 

  4. I. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton Univ. Press (1970).

    Google Scholar 

  5. S. N. Mergelyan, “Uniform approximations of functions of a complex variable,” Usp. Mat. Nauk,7, No. 2, 31–122 (1952).

    Google Scholar 

  6. V. I. Belyi, “Conformal mappings and approximation of functions in domains with quasiconformed boundary,” Mat. Sb.,102, No. 3, 331–361 (1977).

    Google Scholar 

  7. V. V. Andrievskii, “On the uniform convergence of the Bieberlach polynomials in domains with piecewise-quasiconformal boundary,” in: Theory of Mappings and Approximation of Functions [in Russian], G. D. Suvorov (ed.), Naukova Dumka, Kiev (1983), pp. 3–18.

    Google Scholar 

  8. P. M. Tamrazov, Smoothness and Polynomial Approximation [in Russian], Naukova Dumka, Kiev (1975).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Applied Mathematics and Mechanics Institute, Academy of Sciences of the Ukrainian SSR, Donetsk

    V. V. Andrievskii

Authors
  1. V. V. Andrievskii
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 40, No. 1, pp. 3–7, January–February, 1988.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Andrievskii, V.V. Constructive presentation of classes of harmonic functions with singularities on a quasiconformal arc. Ukr Math J 40, 1–4 (1988). https://doi.org/10.1007/BF01056436

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01056436

Keywords

Search

Navigation