$L^p$ estimates for the biest II. The Fourier case

Mathematics – Classical Analysis and ODEs

Scientific paper

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30 pages, no figures, submitted, Math. Annalen

Scientific paper

We prove L^p estimates for the "biest", a trilinear multiplier with singular symbol which arises naturally in the expansion of eigenfunctions of a Schrodinger operator, and which is also related to the bilinear Hilbert transform. In a previous paper these estimates were obtained for a simpler Walsh model for this operator, but in the Fourier case additional complications arise due to the inability to perfectly localize in both space and frequency.

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