Revistes Catalanes amb Accés Obert (RACO)

BCR algorithm and the T(b) Theorem

Pascal Auscher, Q. X. Yang

Resum


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 < ∞, 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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