English

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

Classical Analysis and ODEs 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0102083,
  title  = {$L^p$ estimates for the biest I. The Walsh case},
  author = {Camil Muscalu and Terence Tao and Christoph Thiele},
  journal= {arXiv preprint arXiv:math/0102083},
  year   = {2007}
}

Comments

22 pages, 1 figure, submitted, Math. Annalen

R2 v1 2026-07-22T16:37:16.973Z