Translator Disclaimer
December, 2019 Three Examples of Sharp Commutator Estimates via Harmonic Extensions
Armin Schikorra
Taiwanese J. Math. 23(6): 1365-1388 (December, 2019). DOI: 10.11650/tjm/190204

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.

Citation

Download Citation

Armin Schikorra. "Three Examples of Sharp Commutator Estimates via Harmonic Extensions." Taiwanese J. Math. 23 (6) 1365 - 1388, December, 2019. https://doi.org/10.11650/tjm/190204

Information

Received: 6 July 2018; Revised: 22 February 2019; Accepted: 22 February 2019; Published: December, 2019
First available in Project Euclid: 7 March 2019

zbMATH: 07142978
MathSciNet: MR4033550
Digital Object Identifier: 10.11650/tjm/190204

Subjects:
Primary: 42B37, 47B47

Rights: Copyright © 2019 The Mathematical Society of the Republic of China

JOURNAL ARTICLE
24 PAGES


SHARE
Vol.23 • No. 6 • December, 2019
Back to Top