Skip to main content
SpringerLink
Log in

Counterexamples to the Hardy–Littlewood Theorem for Generalized Monotone Sequences

  • Short Communications
  • Published:
Mathematical Notes 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. E. D. Alferova and A. Yu. Popov, Math. Notes 110 (4), 623 (2021).

    Article  MathSciNet  Google Scholar 

  2. A. Yu. Popov, Math. Notes 109 (5), 808 (2021).

    Article  MathSciNet  Google Scholar 

  3. A. Yu. Popov and A. P. Solodov, Math. Notes 112 (2), 328 (2022).

    Article  Google Scholar 

  4. G. H. Hardy and J. E. Littlewood, J. London Math. Soc. 6 (1), 3 (1931).

    Article  MathSciNet  Google Scholar 

  5. R. E. A. C. Paley, Studia Math. 3, 226 (1931).

    Article  Google Scholar 

  6. R. H. Akylzhanoff, E. D. Nursultanov, and M. V. Ruzhanskii, Math. Notes 100 (2), 309 (2016).

    Article  MathSciNet  Google Scholar 

  7. M. Dyachenko, A. Mukanov, and S. Tikhonov, Studia Math. 250 (3), 217 (2020).

    Article  MathSciNet  Google Scholar 

  8. S. S. Volosivets, Math. Notes 102 (3), 310 (2017).

    Article  MathSciNet  Google Scholar 

  9. M. I. Dyachenko, Anal. Math. 16 (3), 173 (1990).

    Article  MathSciNet  Google Scholar 

  10. M. I. Dyachenko, Russian Acad. Sci. Sb. Math. 78 (2), 267 (1994).

    MathSciNet  Google Scholar 

  11. M. I. Dyachenko, E. D. Nursultanov, and M. E. Nursultanov, Math. Notes 99 (4), 502 (2016).

    MathSciNet  Google Scholar 

  12. F. Moricz, Proc. Amer. Math. Soc. 109 (2), 417 (1990).

    Article  MathSciNet  Google Scholar 

  13. M. Dyachenko and S. Tikhonov, J. Math. Anal. Appl. 339 (1), 503 (2008).

    Article  MathSciNet  Google Scholar 

  14. M. Dyachenko and S. Tikhonov, in Topics in Classical Analysis and Applications in Honor of Daniel Waterman (World Sci. Publ., Hackensack, NJ, 2008), pp. 88–101.

    Chapter  MATH  Google Scholar 

  15. V. A. Yudin, Doctoral (Phys.–Math.) Dissertation (Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, 1991) [in Russian].

    Google Scholar 

  16. V. A. Yudin, in Function Approximation Theory, Trudy Mezhdunar. Konf., Kiev, 1983 (Moscow, 1987), pp. 477–480 [in Russian].

    Google Scholar 

  17. A. Zygmund, Trigonometric Series (Cambridge University Press, Cambridge, 2003).

    Book  MATH  Google Scholar 

Download references

Funding

This research was carried out at Moscow State University and supported by the Russian Science Foundation under grant 21-11-00131.

Author information

Authors and Affiliations

  1. Lomonosov Moscow State University, Moscow, 119992, Russia

    M. I. Dyachenko & K. A. Oganesyan

  2. Moscow Center for Fundamental and Applied Mathematics, Moscow, 119991, Russia

    M. I. Dyachenko & K. A. Oganesyan

Authors
  1. M. I. Dyachenko
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. K. A. Oganesyan
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. I. Dyachenko.

Additional information

Translated from Matematicheskie Zametki, 2023, Vol. 113, pp. 466–471 https://doi.org/10.4213/mzm13786.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Dyachenko, M.I., Oganesyan, K.A. Counterexamples to the Hardy–Littlewood Theorem for Generalized Monotone Sequences. Math Notes 113, 458–463 (2023). https://doi.org/10.1134/S0001434623030161

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0001434623030161

Keywords

Search

Navigation