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A Generalization of the Hardy Inequality

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A generalization of the Hardy inequality for vector functions is obtained.

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References

  1. O. Costin and V. Maz’ya, “Sharp Hardy–Leray inequality for axisymmetric divergencefree fields,” Calc. Var. PDEs, 32, No. 4, 523–532 (2008).

    Article  Google Scholar 

  2. V. A. Ditkin and A. P. Prudnikov, Integral Transforms and Operational Calculus, Pergamon Press (1965).

  3. A. V. Dmitruk, “Nonnegativity Criterion for a Degenerate Quadratic Form with Two-Dimensional Control,” Journal Math. Sci., 121, No. 2, 2137–2155 (2004).

    Article  MathSciNet  Google Scholar 

  4. N. Hamamoto and F. Takahashi, “Sharp Hardy–Leray and Rellich–Leray inequalities for curl-free vector fields,” arXiv:1808.09614 (2018).

  5. E. Ch. Titchmarsh, Introduction to the Theory of Fourier Integrals, Oxford University Press (1937).

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Correspondence to A. I. Nazarov.

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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 477, 2018, pp. 112–118.

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Nazarov, A.I., Ustinov, N.S. A Generalization of the Hardy Inequality. J Math Sci 244, 998–1002 (2020). https://doi.org/10.1007/s10958-020-04669-5

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  • DOI: https://doi.org/10.1007/s10958-020-04669-5

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