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arXiv · 2005.06363

Function Spaces via Fractional Poisson Kernel on Carnot Groups and Applications

Ali Maalaoui·Andrea Pinamonti·Gareth Speight
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Abstract

We provide a new characterization of homogeneous Besov and Sobolev spaces in Carnot groups using the fractional heat kernel and Poisson kernel. We apply our results to study commutators involving fractional powers of the sub-Laplacian.

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Ali Maalaoui, Andrea Pinamonti, Gareth Speight. 2020-05-13. Function Spaces via Fractional Poisson Kernel on Carnot Groups and Applications. https://arxiv.org/abs/2005.06363

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