BCR algorithm and the T(b) Theorem

• Autores: Pascal Auscher, Qixiang Yang
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 53, Nº 1, 2009, págs. 179-196
• Idioma: inglés
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• Resumen

  • 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 Lp, 1 < p < 1, 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.