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<p>In this paper we construct the fractional powers of the sub-Laplacian in Carnot groups through an analytic continuation approach. In addition, we characterize the powers of the fractional sub-Laplacian in the Heisenberg group, and as a byproduct we compute the <i>k</i>-th order momenta with respect to the heat kernel.</p>

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The Fractional Powers of the Sub-Laplacian in Carnot Groups Through an Analytic Continuation

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年2月19日

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  • Francesca Corni,
  • Fausto Ferrari

摘要

In this paper we construct the fractional powers of the sub-Laplacian in Carnot groups through an analytic continuation approach. In addition, we characterize the powers of the fractional sub-Laplacian in the Heisenberg group, and as a byproduct we compute the k-th order momenta with respect to the heat kernel.