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A simple proof of Hardy’s inequality in a limiting case

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Abstract

In this short note, we provide a simple proof of Hardy’s inequality in a limiting case. In the proof we do not need any symmetrization technique such as the Polya–Szegö inequality for the spherical decreasing rearrangement.

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Authors and Affiliations

  1. Department of Mathematics & OCAMI, Osaka City University, Sumiyoshi-ku, Osaka, 558-8585, Japan

    Futoshi Takahashi

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  1. Futoshi Takahashi
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Correspondence to Futoshi Takahashi.

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Takahashi, F. A simple proof of Hardy’s inequality in a limiting case. Arch. Math. 104, 77–82 (2015). https://doi.org/10.1007/s00013-014-0711-8

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  • DOI: https://doi.org/10.1007/s00013-014-0711-8

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