The multilinear Hormander multiplier theorem with a Lorentz-Sobolev condition

Loukas Grafakos; Bae Jun Park

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arXiv · 2005.01213

The multilinear Hormander multiplier theorem with a Lorentz-Sobolev condition

Loukas Grafakos·Bae Jun Park

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Abstract

In this article, we provide a multilinear version of the H\"ormander multiplier theorem with a Lorentz-Sobolev space condition. The work is motivated by the recent result of the first author and Slav\'ikov\'a where an analogous version of classical H\"ormander multiplier theorem was obtained; this version is sharp in many ways and reduces the number of indices that appear in the statement of the theorem. As a natural extension of the linear case, in this work, we prove that if $mn/2 1$.

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BibTeX RIS

Loukas Grafakos, Bae Jun Park. 2020-05-03. The multilinear Hormander multiplier theorem with a Lorentz-Sobolev condition. https://arxiv.org/abs/2005.01213

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