Skip to main content
Log in

Criterion for the Boundedness and Compactness of a Class of Sets in L[0,∞)

  • Short Communications
  • Published:
Differential Equations Aims and scope Submit manuscript

Abstract

We obtain a criterion for the boundedness and compactness of a class of sets in the space L[0,∞).

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.

Institutional subscriptions

References

  1. Oinarov, R. and Otelbaev, M., Criteria for the Lipschitz property and contraction property of nonlinear integral operators, Sib. Mat. Zh., 1984, vol. 25, no. 6, pp. 195–217.

    MATH  Google Scholar 

  2. Kantorovich, L.V. and Akilov, G.P., Funktsional’nyi analiz (Functional Analysis), Moscow: Nauka, 1984.

    MATH  Google Scholar 

  3. Oinarov, R., Boundedness and compactness of Volterra type integral operators, Sib. Math. J., 2007, vol. 48, no. 5, pp. 884–896.

    Article  MathSciNet  Google Scholar 

  4. Oinarov, R., Boundedness and compactness in weighted Lebesgue spaces of integral operators with variable integration limits, Sib. Math. J., 2011, vol. 52, no. 6, pp. 1042–1055.

    Article  MathSciNet  Google Scholar 

Download references

Funding

This work was supported by the Ministry of Education and Science of the Republic of Kazakhstan, projects nos. AR05135319 and AR05133397.

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to M. Otelbaev, Ya. T. Sultanaev or D. S. Zhusupova.

Additional information

Russian Text © The Author(s), 2019, published in Differentsial’nye Uravneniya, 2019, Vol. 55, No. 9, pp. 1301–1304.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Otelbaev, M., Sultanaev, Y.T. & Zhusupova, D.S. Criterion for the Boundedness and Compactness of a Class of Sets in L[0,∞). Diff Equat 55, 1258–1261 (2019). https://doi.org/10.1134/S0012266119090131

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0012266119090131

Navigation