Fractional Leibniz rules for bilinear spectral multipliers on Carnot groups

• Fang, Jingxuan ^[1] ; Li, Hongbo ^[2] ; Zhao, Jiman ^[3]
  1. [1] Minzu University of China

     Minzu University of China

     China

     
  2. [2] Academy of Mathematics and Systems Science

     Academy of Mathematics and Systems Science

     China

     
  3. [3] School of Mathematical Sciences, Key Laboratory of Mathematics and Complex Systems, Ministry of Education, Institution of Mathematics and Mathematical Education, Xicheng, 100875, Beijing, China

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• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 77, Fasc. 3, 2026, págs. 729-748
• Idioma: inglés
• DOI: 10.1007/s13348-025-00488-6
• Texto completo no disponible (Saber más ...)
• Resumen

  • There have been several studies on fractional Leibniz rule in Euclidean spaces. However, on Lie groups, there is no research on this topic. In this paper, the fractional Leibniz rule for bilinear spectral multipliers on Carnot groups is proved for the first time. The weighted case is also considered. Then we prove the Kato-Ponce type inequality.

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