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

2007/05/07 by Hofmann, S.
#42B20 #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.0705.0840

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 \citeCh, was proved in \citeAHMTT for "perfect dyadic" Calderón-Zygmund operators. The proof in \citeAHMTT essentially carries over to the case considered here, with some technical adjustments.

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