Function Spaces via Fractional Poisson Kernel on Carnot Groups and Applications

2020/05/13 by Ali Maalaoui, Maalaoui, Ali, Andrea Pinamonti +3
Mathematics · #Nonlinear Partial Differential Equations #Geometric Analysis and Curvature Flows #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.2005.06363

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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