English

Paraproducts with flag singularities I. A case study

Classical Analysis and ODEs 2007-05-23 v1

Abstract

We prove L^p estimates for a tri-linear operator, whose symbol is given by the product of two standard symbols, satisfying the well known Marcinkiewicz-Hormander-Mihlin condition. Our main result contains in particular the classical Coifman-Meyer theorem. This tri-linear operator is the simplest example of a large class of multi-linear operators, which we called "paraproducts with flag singularities".

Keywords

Cite

@article{arxiv.math/0601474,
  title  = {Paraproducts with flag singularities I. A case study},
  author = {Camil Muscalu},
  journal= {arXiv preprint arXiv:math/0601474},
  year   = {2007}
}

Comments

34 pages, one figure