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arXiv · 0712.2420

Multi-linear multipliers associated to simplexes of arbitrary length

Camil Muscalu·Terence Tao·Christoph Thiele
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Abstract

In this article we prove that the $n$-linear operator whose symbol is the characteristic function of the simplex $Δ_n = ξ_1 < ... < ξ_n$ is bounded from $L^2 \times ... \times L^2$ into $L^{2/n}$, generalizing in this way our previous work on the "bi-est" operator (which corresponds to the case $n=3$) as well as Lacey-Thiele theorem on the bi-linear Hilbert transform (which corresponds to the case $n=2$).

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Camil Muscalu, Terence Tao, Christoph Thiele. 2007-12-14. Multi-linear multipliers associated to simplexes of arbitrary length. https://arxiv.org/abs/0712.2420

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