Function Spaces via Fractional Poisson Kernel on Carnot Groups and Applications
Analysis of PDEs
2020-05-14 v1 Functional Analysis
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.
Cite
@article{arxiv.2005.06363,
title = {Function Spaces via Fractional Poisson Kernel on Carnot Groups and Applications},
author = {Ali Maalaoui and Andrea Pinamonti and Gareth Speight},
journal= {arXiv preprint arXiv:2005.06363},
year = {2020}
}
Comments
35 pages