Skip to main content
SpringerLink
Log in

Boundedness of a class of quasilinear operators on the cone of monotone functions

  • Mathematics
  • Published:
Doklady Mathematics Aims and scope Submit manuscript

Abstract

Necessary and sufficient conditions for the weighted boundedness of a class of positive quasilinear integral two-kernel operators of iterative type on the real half-line are given.

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

Similar content being viewed by others

References

  1. E. Sawyer, Studia Math. 96, 145–158 (1990).

    MathSciNet  Google Scholar 

  2. V. D. Stepanov, J. London Math. Soc. 48 (3), 465–487 (1993).

    Article  Google Scholar 

  3. M. L. Goldman, V. D. Stepanov, and H. P. Heinig, Dokl. Akad. Nauk 344 (6), 740–744 (1995).

    MathSciNet  Google Scholar 

  4. M. L. Goldman, H. P. Heinig, and V. D. Stepanov, Can. J. Math. 48 (5), 959–979.

  5. G. Sinnamon, Publ. Mat. 46, 489–515 (2002).

    Article  MathSciNet  Google Scholar 

  6. O. V. Popova, Sib. Math. J. 53 (1), 152–167 (2012).

    Article  Google Scholar 

  7. V. I. Burenkov and R. Oinarov, Math. Inequal. Appl. 16, 1–19 (2013).

    MathSciNet  Google Scholar 

  8. G. E. Shambilova, Sib. Math. J. 55 (4), 745–767 (2014).

    Article  MathSciNet  Google Scholar 

  9. A. Gogatishvili and V. D. Stepanov, Russ. Math. Surv. 68 (4), 597–664 (2013).

    Article  Google Scholar 

  10. D. V. Prokhorov and V. D. Stepanov, Dokl. Math. 88 (3), 721–723 (2013).

    Article  MathSciNet  Google Scholar 

  11. D. V. Prokhorov and V. D. Stepanov, Dokl. Math. 89 (3), 372–377 (2014).

    Article  MathSciNet  Google Scholar 

  12. D. V. Prokhorov, Dokl. Math. 92 (2), 602–605 (2015).

    Article  MathSciNet  Google Scholar 

  13. D. V. Prokhorov and V. D. Stepanov, Sb. Math. 207 (8), 1159–1186 (2016).

    Article  Google Scholar 

  14. D. V. Prokhorov, Proc. Steklov Inst. Math. 293, 272–287 (2016).

    Article  Google Scholar 

  15. L.-E. Persson, G. E. Shambilova, and V. D. Stepanov, Banach J. Math. Anal. 9 (2), 21–34 (2015).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Peoples’ Friendship University of Russia, Moscow, 117198, Russia

    V. D. Stepanov & G. E. Shambilova

Authors
  1. V. D. Stepanov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. G. E. Shambilova
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to V. D. Stepanov.

Additional information

Original Russian Text © V.D. Stepanov, G.E. Shambilova, 2016, published in Doklady Akademii Nauk, 2016, Vol. 471, No. 6, pp. 645–650.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Stepanov, V.D., Shambilova, G.E. Boundedness of a class of quasilinear operators on the cone of monotone functions. Dokl. Math. 94, 697–702 (2016). https://doi.org/10.1134/S1064562416060302

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1064562416060302

Search

Navigation