Mathematics
Document Type
Article
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. © 2022, The Hebrew University of Jerusalem.
Publication Title
Journal d'Analyse Mathematique
Publication Date
1-5-2023
First Page
1
Last Page
43
ISSN
0021-7670
DOI
10.1007/s11854-022-0255-y
Repository Citation
Maalaoui, Ali; Pinamonti, Andrea; and Speight, Gareth, "Function spaces via fractional Poisson kernel on Carnot groups and applications" (2023). Mathematics. 1.
https://commons.clarku.edu/mathematics/1
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Copyright
This is a Green Open Access article.