Skip to main content
SpringerLink
Log in

Boundary properties of a multidimensional singular integral

  • Published:
Mathematical Notes Aims and scope Submit manuscript

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

References

  1. E. A. Volkov, “Boundaries of subdomains, Hölder weight classes, and solution to the Poisson equation in these classes,” Trudy MIAN,117, 75–99 (1972).

    Google Scholar 

  2. S. G. Mikhlin, Multidimensional Singular Integrals and Integral Equations [in Russian], GIFML, Moscow (1962).

    Google Scholar 

  3. R. K. Seifullaev, “On the action of a multidimensional singular integral operator over a domain in generalized Hölder spaces,” Singular Integral Operators [in Russian], Izdatel'stvo BGU, Baku (1989), pp. 95–100.

    Google Scholar 

  4. A. Zygmund, “Sur le module de cotinuité de la somme de la série cojugeé de la série de Fourier,” Prace Matematyczno-Fizyczne,33, 125–132 (1924).

    Google Scholar 

  5. R. K. Seifullaev, “On the boundedness of a singular integral operator in Hölder spaces over domains with a Lyapunov boundary,” Dep. AzNIINTI 18.02.88, No. 956-Az88 (1988).

  6. D. S. Anikonov, “On the boundedness of a singular integral operator in the space Cα(G),” Mat. Sb.,106 (146), No. 4 (12), 515–534 (1977).

    Google Scholar 

  7. R. K. Seifullaev, “Equation for boundary values of a multidimensional singular integral over a domain,” Dep. AzNIINTI 16.06.88, No. 1053-Az88 (1988).

  8. I. M. Stein, Singular Integrals and Differential Properties of Functions [Russian translation], Mir, Moscow (1973).

    Google Scholar 

  9. N. M. Gyunter, Theory of Potentials and its Application to the Main Problems of Mathematical Physics [in Russian], Gostekhizdat, Moscow (1953).

    Google Scholar 

  10. L. N. Sretenskii, Theory of Newtonian Potentials [in Russian], Gostekhizdat, Moscow (1946).

    Google Scholar 

  11. J. Weingarten, “Zur theorie der flächenpotentials,” Acta Mathematica,10, 303–309 (1887).

    Google Scholar 

  12. C. Miranda, Partial Differential Equations of Elliptic Type [Russian translation], Inostrannaya Literatura, Moscow (1957).

    Google Scholar 

  13. V. B. Vasil'ev, “Boundary properties of multidimensional singular integrals and geometry of nonsmooth domains,” Singular Integral Operators [in Russian], Izd. AGU, Baku (1987), pp. 47–53.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. M. É. Rasulzade Baku State University, USSR

    R. K. Seifullaev

Authors
  1. R. K. Seifullaev
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Matematicheskie Zametki, Vol. 53, No. 5, pp. 107–119, May, 1993.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Seifullaev, R.K. Boundary properties of a multidimensional singular integral. Math Notes 53, 526–533 (1993). https://doi.org/10.1007/BF01208550

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01208550

Keywords

Search

Navigation