Skip to main content
Log in

A smoothness problem for an integral of Cauchy type

  • 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

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

Instant access to the full article PDF.

Literature cited

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

    Google Scholar 

  2. V. V. Salaev, “Direct and inverse estimates for singular Cauchy integrals over closed curves,” Mat. Zametki,19, No. 3, 365–380 (1976).

    Google Scholar 

  3. O. F. Gerus, “Finite-difference smoothness of integrals of Cauchy type,” Ukr. Mat. Zh.,29, No. 5, 642–646 (1977).

    Google Scholar 

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

    Google Scholar 

  5. V. V. Andrievskii, Constructive Description of Classes of Functions of Continua of the Complex Plane with Regard to the Growth of Their Approximating Polynomials [in Russian], Preprint, Akad. Nauk Ukr. SSR, Inst. Mat., Kiev (1983).

    Google Scholar 

  6. T. S. Salimov, The Singular Cauchy Integral in the Spaces Hω [in Russian], Tr. Saratov Univ. (1983), pp. 130–134.

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

    Google Scholar 

  8. V. V. Andrievskii, “Some properties of continua with piecewise-quasiconformal boundaries,” Ukr. Mat. Zh.,32, No. 4, 435–440 (1980).

    Google Scholar 

  9. M. Z. Dveirin, “The Hardy-Littlewood theorem on approximation of harmonic functions in regions with quasiconformal boundaries,” Dokl. Akad. Nauk Ukr. SSR, Ser. A, No. 1, 11–14 (1982).

    Google Scholar 

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

    Google Scholar 

  11. V. V. Andrievskii and D. M. Israfilov, “Approximation of functions on quasiconformal curves by rational functions,” Izv. Akad. Nauk Az. SSR, Ser. Fiz.-Tekh. Mat. Nauk, No. 4, 21–26 (1980).

    Google Scholar 

  12. V. I. Belyi, “Conformal mappings and approximation of functions in regions with quasiconformal boundaries,” Mat. Sb.,102, No. 3, 331–361 (1977).

    Google Scholar 

  13. V. V. Andrievskii, “On the approximation of functions by partial sums of series of Faber polynomials on continua with nonzero local geometric characteristic,” Ukr. Mat. Zh.,32, No. 1, 3–10 (1980).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 38, No. 2, pp. 139–143, March–April, 1986.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Andrievskii, V.V. A smoothness problem for an integral of Cauchy type. Ukr Math J 38, 123–126 (1986). https://doi.org/10.1007/BF01058465

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01058465

Keywords

Navigation