Paraproducts with flag singularities I. A case study

2006/01/19 by Camil Muscalu, Muscalu, Camil
Mathematics · #Spectral Theory in Mathematical Physics #Differential Equations and Boundary Problems #Advanced Harmonic Analysis Research

paper · pdf · doi:10.48550/arxiv.math/0601474

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".

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