Differential and Integral Equations

A remark on an endpoint Kato-Ponce inequality

Loukas Grafakos, Diego Maldonado, and Virginia Naibo

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Abstract

This note introduces bilinear estimates intended as a step towards an $L^\infty$-endpoint Kato-Ponce inequality. In particular, a bilinear version of the classical Gagliardo-Nirenberg interpolation inequalities for a product of functions is proved.

Article information

Source
Differential Integral Equations, Volume 27, Number 5/6 (2014), 415-424.

Dates
First available in Project Euclid: 3 April 2014

Permanent link to this document
https://projecteuclid.org/euclid.die/1396558089

Mathematical Reviews number (MathSciNet)
MR3189525

Zentralblatt MATH identifier
1340.42027

Subjects
Primary: 42B20: Singular and oscillatory integrals (Calderón-Zygmund, etc.) 46E35: Sobolev spaces and other spaces of "smooth" functions, embedding theorems, trace theorems

Citation

Grafakos, Loukas; Maldonado, Diego; Naibo, Virginia. A remark on an endpoint Kato-Ponce inequality. Differential Integral Equations 27 (2014), no. 5/6, 415--424. https://projecteuclid.org/euclid.die/1396558089


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