English

Uniform estimates on multi-linear operators with modulation symmetry

Classical Analysis and ODEs 2007-05-23 v1

Abstract

We prove uniform LpL^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.

Keywords

Cite

@article{arxiv.math/0107059,
  title  = {Uniform estimates on multi-linear operators with modulation symmetry},
  author = {Camil Muscalu and Terence Tao and Christoph Thiele},
  journal= {arXiv preprint arXiv:math/0107059},
  year   = {2007}
}

Comments

46 pages, no figures, submitted to Acta Mathematica