BCR algorithm and the $T(b)$ theorem
Classical Analysis and ODEs
2007-10-09 v3
Abstract
We show using the Beylkin-Coifman-Rokhlin algorithm in the Haar basis that any singular integral operator can be written as the sum of a bounded operator on , , and of a perfect dyadic singular integral operator. This allows to deduce a local theorem for singular integral operators from the one for perfect dyadic singular integral operators obtained by Hofmann, Muscalu, Thiele, Tao and the first author.
Keywords
Cite
@article{arxiv.math/0702282,
title = {BCR algorithm and the $T(b)$ theorem},
author = {Pascal Auscher and Qi Xiang Yang},
journal= {arXiv preprint arXiv:math/0702282},
year = {2007}
}
Comments
Change of title. New abstract and new introduction