Calculus of Variations and Geometric Measure Theory

A. Maalaoui - A. Pinamonti - G. Speight

Function Spaces via Fractional Poisson Kernel on Carnot Groups and Applications

created by pinamonti on 03 Nov 2021

[BibTeX]

Accepted Paper

Inserted: 3 nov 2021
Last Updated: 3 nov 2021

Journal: Journal d'Analyse Mathématique
Year: 2021

Abstract:

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


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