BCR algorithm and the $T(b)$ theorem

Pascal Auscher, Qi Xiang Yang

Type: Preprint

Publication Date: 2009-01-01

Citations: 1

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, Thiele, Tao and the first author.

Locations

Dipòsit Digital de Documents de la UAB (Universitat Autònoma de Barcelona) - View - PDF
Project Euclid (Cornell University) - View - PDF
HAL (Le Centre pour la Communication Scientifique Directe) - View - PDF

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