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On Exact Constants in Hardy–Littlewood Inequalities

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Ukrainian Mathematical Journal Aims and scope

We establish exact constants for the Hardy–Littlewood inequalities.

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References

  1. G. H. Hardy and J. E. Littlewood, “Some properties of fractional integrals,” Math. Z., 27, 565–606 (1928).

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  2. G. H. Hardy and J. E. Littlewood, “A convergence criterion for Fourier series,” Math. Z., 28, 612–634 (1928).

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  3. E. C. Titchmarsh, The Theory of Functions [Russian translation], Nauka, Moscow (1980).

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  4. I. P. Natanson, Theory of Functions of Real Variable [in Russian], Nauka, Moscow (1974).

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Authors and Affiliations

  1. Gonchar Dnepr National University, Dnepr, Ukraine

    V. P. Motornyi

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  1. V. P. Motornyi
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 69, No. 12, pp. 1625–1632, December, 2017.

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Motornyi, V.P. On Exact Constants in Hardy–Littlewood Inequalities. Ukr Math J 69, 1891–1901 (2018). https://doi.org/10.1007/s11253-018-1478-z

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  • DOI: https://doi.org/10.1007/s11253-018-1478-z

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