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arXiv · 0705.0840

A proof of the local $Tb$ Theorem for standard Calderón-Zygmund operators

S. Hofmann
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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 \cite{Ch}, was proved in \cite{AHMTT} for "perfect dyadic" Calderón-Zygmund operators. The proof in \cite{AHMTT} essentially carries over to the case considered here, with some technical adjustments.

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S. Hofmann. 2007-05-07. A proof of the local $Tb$ Theorem for standard Calderón-Zygmund operators. https://arxiv.org/abs/0705.0840

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