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Three Examples of Sharp Commutator Estimates via Harmonic Extensions

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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… Click to show full 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.

Keywords: examples sharp; commutator estimates; sharp commutator; estimates via; commutator; three examples

Journal Title: Taiwanese Journal of Mathematics
Year Published: 2019

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