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Boundedness of quasilinear integral operators of iterated type with Oinarov’s kernel on the cone of monotone functions

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Abstract

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

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References

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

    Article  MathSciNet  Google Scholar 

  2. M. L. Goldman and M. V. Sorokina, Dokl. Math. 71 (2), 209–213 (2005).

    Google Scholar 

  3. M. Johansson, V. D. Stepanov, and E. P. Ushakova, Math. Inequal. Appl. 11 (3), 393–413 (2008).

    MathSciNet  Google Scholar 

  4. V. D. Stepanov and S. Yu. Tikhonov, Dokl. Math. 83 (2), 241–242 (2011).

    Article  MathSciNet  Google Scholar 

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

    Article  MathSciNet  Google Scholar 

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

    Article  Google Scholar 

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

    Article  MathSciNet  Google Scholar 

  8. V. D. Stepanov and G. E. Shambilova, Dokl. Math. 94 (3), 697–702 (2016).

    Article  Google Scholar 

  9. V. D. Stepanov and G. E. Shambilova, Sib. Math. J. 57 (5), 884–904 (2016).

    Article  Google Scholar 

  10. L.-E. Persson, G. E. Shambilova, and V. D. Stepanov, J. Inequal. Appl. 237 (2016).

    Google Scholar 

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

    Article  MathSciNet  Google Scholar 

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

    Article  MathSciNet  Google Scholar 

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

    Article  MathSciNet  Google Scholar 

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

    Article  MathSciNet  Google Scholar 

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

    Article  Google Scholar 

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Authors and Affiliations

  1. RUDN University, Moscow, Russia

    V. D. Stepanov & G. E. Shambilova

Authors
  1. V. D. Stepanov
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  2. G. E. Shambilova
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Corresponding author

Correspondence to V. D. Stepanov.

Additional information

Original Russian Text © V.D. Stepanov, G.E. Shambilova, 2017, published in Doklady Akademii Nauk, 2017, Vol. 475, No. 1, pp. 17–23.

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Stepanov, V.D., Shambilova, G.E. Boundedness of quasilinear integral operators of iterated type with Oinarov’s kernel on the cone of monotone functions. Dokl. Math. 96, 315–320 (2017). https://doi.org/10.1134/S1064562417040056

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  • DOI: https://doi.org/10.1134/S1064562417040056

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