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## Mathematics

# Function spaces via fractional Poisson kernel on Carnot groups and applications

## Authors

Ali Maalaoui, Clark University Andrea Pinamonti, University of Trento Gareth Speight, University of Cincinnati

## 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 Conditions

This is a Green Open Access article.

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