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<p>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.</p>

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Fractional Leibniz rules for bilinear spectral multipliers on Carnot groups

  • 期刊论文

  • 发表日期：

    2025年7月23日

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  • Jingxuan Fang,
  • Hongbo Li,
  • Jiman Zhao

摘要

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.