Three examples of Sharp Commutator Estimates via Harmonic Extensions
Analysis of PDEs
2019-02-26 v1
Abstract
Recently, Lenzmann and the author observed how to obtain a large class of sharp commutator estimates by a combination of an integration by parts, an harmonic extension, and trace space estimates. In this survey we review this approach in three concrete examples: the Jacobian estimate by Coifman-Lions-Meyer-Semmes, the Coifman-Rochberg-Weiss commutator estimate for Riesz transforms, and a Kato-Ponce-Vega-type inequality.
Cite
@article{arxiv.1902.08778,
title = {Three examples of Sharp Commutator Estimates via Harmonic Extensions},
author = {Armin Schikorra},
journal= {arXiv preprint arXiv:1902.08778},
year = {2019}
}
Comments
survey, accepted for publication: Taiwanese Journal of Mathematics