A proof of the local Tb Theorem for standard Calderón-Zygmund operators, unpublished manuscript, http://www.math.missouri.edu/ehofmann

Abstract. We give a proof of a so-called “local Tb ” Theorem for singular integrals whose kernels satisfy the standard Calderón-Zygmund conditions. The present theorem, which extends an earlier result of M. Christ [Ch], was proved in [AHMTT] for “perfect dyadic” Calderón-Zygmund operators. The proof in [AHMTT] essentially carries over to the case considered here, with some technical adjustments. 1