$L^p$ estimates for the biest I. The Walsh case

Abstract

We prove L^p estimates for the Walsh model of 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. The corresponding estimates for the Fourier model will be obtained in the sequel of this paper.

arXiv comment22 pages, 1 figure, submitted, Math. Annalen

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