## Publicacions Matemàtiques

### BCR Algorithm and the $T(b)$ Theorem

#### 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 $L^p$, $1<p<\infty$, and of a perfect dyadic singular integral operator. This allows to deduce a local $T(b)$ theorem for singular integral operators from the one for perfect dyadic singular integral operators obtained by Hofmann, Muscalu, Tao, Thiele and the first author.

#### Article information

Source
Publ. Mat., Volume 53, Number 1 (2009), 179-196.

Dates
First available in Project Euclid: 17 December 2008

Auscher, P.; Yang, Q. X. BCR Algorithm and the $T(b)$ Theorem. Publ. Mat. 53 (2009), no. 1, 179--196. https://projecteuclid.org/euclid.pm/1229531049