BCR algorithm and the $T(b)$ theorem

Pascal Auscher; Qi Xiang Yang

BCR algorithm and the $T(b)$ theorem

经典分析与常微分方程 2007-10-09 v3

作者: Pascal Auscher , Qi Xiang Yang

摘要

We show using the Beylkin-Coifman-Rokhlin algorithm in the Haar basis that any singular integral operator can be written as the sum of a bounded operator on $L^p$ , $1<p<\infty$ , and of a perfect dyadic singular integral operator. This allows to deduce a local $T(b)$ theorem for singular integral operators from the one for perfect dyadic singular integral operators obtained by Hofmann, Muscalu, Thiele, Tao and the first author.

关键词

operator theory

引用

@article{arxiv.math/0702282,
  title  = {BCR algorithm and the $T(b)$ theorem},
  author = {Pascal Auscher and Qi Xiang Yang},
  journal= {arXiv preprint arXiv:math/0702282},
  year   = {2007}
}

备注

Change of title. New abstract and new introduction

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