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2009 BCR Algorithm and the $T(b)$ Theorem
P. Auscher, Q. X. Yang
Publ. Mat. 53(1): 179-196 (2009).


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.


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P. Auscher. Q. X. Yang. "BCR Algorithm and the $T(b)$ Theorem." Publ. Mat. 53 (1) 179 - 196, 2009.


Published: 2009
First available in Project Euclid: 17 December 2008

zbMATH: 1153.42003
MathSciNet: MR2474120

Primary: 42B20 , ‎42C40

Keywords: Haar basis , singular integral operators

Rights: Copyright © 2009 Universitat Autònoma de Barcelona, Departament de Matemàtiques

Vol.53 • No. 1 • 2009
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