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<p>In this note, we establish sharp fractional log-Sobolev inequalities on the sphere and we also consider the improved log-Sobolev inequalities under an orthogonality constraint. Our proof is based on Beckner’s log-Sobolev inequalities and the spherical harmonics expansions.</p>

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Fractional Log-Sobolev Inequalities on the Sphere

  • 期刊论文

  • 发表日期：

    2025年4月2日

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  • Hanli Tang,
  • Caifeng Zhang

摘要

In this note, we establish sharp fractional log-Sobolev inequalities on the sphere and we also consider the improved log-Sobolev inequalities under an orthogonality constraint. Our proof is based on Beckner’s log-Sobolev inequalities and the spherical harmonics expansions.