Bilinear representation theorem
Classical Analysis and ODEs
2019-01-23 v1
Abstract
We represent a general bilinear Calder\'on-Zygmund operator as a sum of simple dyadic operators. The appearing dyadic operators also admit a simple proof of a sparse bound. In particular, the representation implies a so called sparse T1 theorem for bilinear singular integrals.
Cite
@article{arxiv.1706.00190,
title = {Bilinear representation theorem},
author = {Kangwei Li and Henri Martikainen and Yumeng Ou and Emil Vuorinen},
journal= {arXiv preprint arXiv:1706.00190},
year = {2019}
}
Comments
24 pages