## Differential and Integral Equations

### A remark on an endpoint Kato-Ponce inequality

#### 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

#### 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