Mathematics – Classical Analysis and ODEs
Scientific paper
2001-02-10
Mathematics
Classical Analysis and ODEs
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.
Muscalu Camil
Tao Terence
Thiele Christoph
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