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

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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.
Unpublished manuscript, based on the cited paper [AHMTT]

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Classical Analysis and ODEs, Analysis of PDEs, 42B20

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http://salesiana.dossiersoluciones.com/handle/123456789/128483

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0705.0840
 http://arxiv.org/abs/0705.0840

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arXiv