Skip to main content
SpringerLink
Log in

ESTIMATES FOR INTEGRAL MAJORANTS ON THE CONES OF MONOTONE FUNCTIONS

  • Published:
Journal of Mathematical Sciences 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. Bennett C., Sharpley R. Interpolation of operators. Acad. Press, Boston. 1988.

  2. Bokayev N. A., Goldman M. L., Karshygina G. Zh. Cones of functions with monotonicity conditions for generalized Bessel and Riesz potentials. Math. Notes. 2018. Vol. 104, No. 3, pp. 356–373.

  3. Bokayev N. A., Goldman M. L., Karshygina G. Zh. Criteria for embeddings of generalized Bessel and Riesz potential spaces in rearrangement invariant spaces. Eurasian Math. Journal. 2019. Vol. 10, No. 2, pp. 8–29.

  4. Gogatishvili A., Neves J.S., Opitz B. Optimality of embeddings of Bessel-potential type spaces. Function spaces, differential operators and nonlinear analysis. Math. Inst. Acad. sci. Czech Republic. 2005, pp. 97–102.

  5. 1. Goldman M. L. On optimal embedding of generalized Bessel and Riesz potentials. Proc. Steklov Inst. Mathem. 2010. Vol. 269, pp. 101–123.

  6. Goldman M. L. On the cones of rearrangements for generalized Bessel and Riesz potentials. Complex Variables and Elliptic Equations. 2010. Vol. 55, No. 8-10, pp. 817–832.

  7. Karshygina G. Zh. Optimal embeddings of Bessel and Riesz-type potentials based on Lorentz spaces. Bulletin of Kargu, series Mathematics 2017. Vol. 88, No. 4, pp. 15–25.

  8. Krein S. G., Petunin Yu. I., Semenov E. M. Interpolation of linear operators. The science. 1978.

  9. Mazya V. G. Sobolev spaces. LSU. 1985.

  10. Nikolsky S. M. Approximation of functions of several variables and embedding theorems. M. Science. 1969.

  11. Stein E.Ṁ. Singular integrals and differential properties functions. M. Mir. 1973.

Download references

Acknowledgements

Congratulations to Stefan Grigorievich Samko! We wish the hero of the day good health and further success!

Funding

The work of the first author was carried out at the Mathematical Institute named after V.A. Steklov with the financial support of the Russian Science Foundation grant, Project No. 19-11-00087.

Author information

Authors and Affiliations

  1. Moscow, Russia

    M. L. Goldman

  2. Karaganda, Kazakhstan

    G. Zh. Karshygina

Authors
  1. M. L. Goldman
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. G. Zh. Karshygina
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. L. Goldman.

Additional information

Publisher’s Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

The article is dedicated to the 80th anniversary of Professor Stefan Grigorievich Samko.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Goldman, M.L., Karshygina, G.Z. ESTIMATES FOR INTEGRAL MAJORANTS ON THE CONES OF MONOTONE FUNCTIONS. J Math Sci 266, 407–418 (2022). https://doi.org/10.1007/s10958-022-05896-8

Download citation

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10958-022-05896-8

Search

Navigation