Skip to main content
Log in

Jackson's theorem in the spaces Lp(Rk), 0<p<1

  • 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. I. Ts. Gokhberg and M. G. Krein, “Systems of integral equations on a semiaxis with kernels depending on the difference of the arguments,” Usp. Mat. Nauk,13, No. 2, 3–72 (1958).

    Google Scholar 

  2. G. N. Chebotarev, “On a singular case of the Wiener-Hopf equation in a space of bounded functions,” Izv. Vyssh. Uchebn. Zaved., Mat., No. 10, 92–101 (1967).

    Google Scholar 

  3. Sh. I. Galiev, “Singular case of a system of Wiener-Hopf equations,” Izv. Vyssh. Uchebn. Zaved., Mat., No 3, 32–42 (1974).

    Google Scholar 

  4. V. I. Azamatov and I. V. Lizunova, “Exceptional cases of an integral equation,” Izv. Akad. Nauk BSSR, Ser. Fiz.-Mat. Nauk, No. 1, 57–64 (1972).

    Google Scholar 

  5. A. I. Tuzik, “Solution of a class of equations of convolution type,” Izv. Akad. Nauk BSSR, Ser. Fiz.-Mat. Nauk, No. 1, 42–47 (1973).

    Google Scholar 

  6. N. I. Muskhelishvili, Singular Integral Equations [in Russian], Nauka, Moscow (1968).

    Google Scholar 

  7. M. A. Lavrent'ev and B. V. Shabat, Methods in the Theory of Functions of a Complex Variable [in Russian], Gosizdat, Moscow (1973).

    Google Scholar 

  8. A. N. Kolmogorov and S. V. Fomin, Elements of the Theory of Functions and Functional Analysis, Graylock (1961).

  9. A. Koffman and R. Crewen, Mass Servicing [Russian translation], Mir, Moscow (1965).

    Google Scholar 

  10. A. A. Borovkov, “Some theorems on a nonlattice random walk,” Teor. Veroyatn. Ee Primen,7, No. 2, 170–184 (1962).

    Google Scholar 

Download references

Authors

Additional information

Translated from Sibirskii Matematicheskii Zhurnal, Vol. 19, No. 4, pp. 888–901, July–August, 1978.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Storozhenko, É.A., Osval'd, P. Jackson's theorem in the spaces Lp(Rk), 0<p<1. Sib Math J 19, 630–656 (1978). https://doi.org/10.1007/BF00967736

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00967736

Navigation