Uniform estimates on multi-linear operators with modulation symmetry

2001/07/08 by Camil Muscalu, Terence Tao, Muscalu, Camil +3
Mathematics · #42B15 #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #Differential Equations and Boundary Problems #FOS: Mathematics #Mathematical Analysis and Transform Methods #math.CA #msc:42B15

paper · pdf · doi:10.48550/arxiv.math/0107059

46 pages, no figures, submitted to Acta Mathematica

arxiv created 2001/07/08 · openalex publication_date 2001/07/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove uniform L^p bounds for multilinear operators which are given by multipliers whose symbols are singular on a one dimensional subspace. The novelty is that these bounds are uniform in the choice of the subspace.

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