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arxiv: 1311.4560 · v1 · pith:MZTES2DQnew · submitted 2013-11-18 · 🧮 math.AP · math.CA

A remark on an endpoint Kato-Ponce inequality

classification 🧮 math.AP math.CA
keywords bilinearendpointinequalitykato-ponceclassicalestimatesfunctionsgagliardo-nirenberg
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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.

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