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Multidimensional Bilinear Hardy Inequalities

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Abstract—

A characterization of the n-dimensional bilinear Hardy inequality in weighted Lebesgue spaces is given.

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Funding

This study was supported in part by the Russian Foundation for Basic Research, project no. 19-01-00223. The work of the second author was performed in part within the RUDN University Program 5-100.

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Authors and Affiliations

  1. Computing Center, Far Eastern Branch, Russian Academy of Sciences, 680000, Khabarovsk, Russia

    V. D. Stepanov

  2. RUDN University, 117198, Moscow, Russia

    G. E. Shambilova

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

Correspondence to V. D. Stepanov or G. E. Shambilova.

Additional information

Translated by N. Berestova

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Stepanov, V.D., Shambilova, G.E. Multidimensional Bilinear Hardy Inequalities. Dokl. Math. 100, 374–376 (2019). https://doi.org/10.1134/S1064562419040161

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  • DOI: https://doi.org/10.1134/S1064562419040161

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