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Hardy and Sobolev inequalities in the half space

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Abstract

Our aim is to establish Hardy and Sobolev inequalities for Sobolev functions in Herz–Morrey spaces, which extend the classical Hardy inequalities in the Lp Lebesgue space.

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Authors and Affiliations

  1. Department of Mathematics, Graduate School of Science, Hiroshima University, Higashi-Hiroshima, 739-8521, Japan

    Y. Mizuta

  2. Department of Mathematics, Graduate School of Education, Hiroshima University, Higashi-Hiroshima, 739-8524, Japan

    T. Shimomura

Authors
  1. Y. Mizuta
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  2. T. Shimomura
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Correspondence to T. Shimomura.

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Mizuta, Y., Shimomura, T. Hardy and Sobolev inequalities in the half space. Acta Math. Hungar. 161, 230–244 (2020). https://doi.org/10.1007/s10474-019-01004-6

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  • DOI: https://doi.org/10.1007/s10474-019-01004-6

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