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

2001/02/10 by Camil Muscalu, Terence Tao, Muscalu, Camil +3
Mathematics · #42B15 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA #msc:42B15

paper · pdf · doi:10.48550/arxiv.math/0102083

22 pages, 1 figure, submitted, Math. Annalen

arxiv created 2001/02/10 · arxiv updated 2009/11/30

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.

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