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

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

2007-05-07

arxiv.org/abs/0705.0840v1

Mathematics

Classical Analysis and ODEs

Unpublished manuscript, based on the cited paper [AHMTT]

Scientific paper

We give a proof of a so-called "local $Tb$" Theorem for singular integrals whose kernels satisfy the standard Calder\'on-Zygmund conditions. The present theorem, which extends an earlier result of M. Christ \cite{Ch}, was proved in \cite{AHMTT} for "perfect dyadic" Calder\'on-Zygmund operators. The proof in \cite{AHMTT} essentially carries over to the case considered here, with some technical adjustments.

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