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<p>We introduce the concept of the Besov polar projection body as an extension of (fractional) polar projection body. Using this, we establish new affine fractional Moser–Trudinger and Morrey inequalities that are stronger than the known affine estimates. We also obtain the corresponding Bourgain–Brezis–Mironescu type formulae.</p>

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New approach to affine Moser–Trudinger inequalities via Besov polar projection bodies

  • 期刊论文

  • 发表日期：

    2025年5月5日

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  • Oscar Domínguez,
  • Yinqin Li,
  • Sergey Tikhonov,
  • Dachun Yang,
  • Wen Yuan

摘要

We introduce the concept of the Besov polar projection body as an extension of (fractional) polar projection body. Using this, we establish new affine fractional Moser–Trudinger and Morrey inequalities that are stronger than the known affine estimates. We also obtain the corresponding Bourgain–Brezis–Mironescu type formulae.