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<p>We prove weighted inequalities between the Gagliardo and Sobolev seminorms. With <i>A</i><sub>1</sub> weights we improve earlier results of Bourgain, Brezis, and Mironescu.</p>

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On the weighted inequality between the Gagliardo and Sobolev seminorms

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年11月18日

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  • Ritva Hurri-Syrjänen,
  • Javier C. Martínez-Perales,
  • Carlos Pérez,
  • Antti V. Vähäkangas

摘要

We prove weighted inequalities between the Gagliardo and Sobolev seminorms. With A1 weights we improve earlier results of Bourgain, Brezis, and Mironescu.