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

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

2001-02-10

arxiv.org/abs/math/0102083v1

Mathematics

Classical Analysis and ODEs

22 pages, 1 figure, submitted, Math. Annalen

Scientific paper

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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