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

Muscalu, Camil; Tao, Terence; Thiele, Christoph

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

Authors

Muscalu, Camil

Tao, Terence

Thiele, Christoph

Description

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.
22 pages, 1 figure, submitted, Math. Annalen