Carleson measures, trees, extrapolation, and \(T(b)\) theorems
type: Item
instance of: scholarly article
title: Carleson measures, trees, extrapolation, and \(T(b)\) theorems
zbMATH Open document ID: 1027.42009
DOI: 10.5565/PUBLMAT_46202_01
author: Pascal Auscher
author: Camil Muscalu
author: Christoph Thiele
author: Steve Hofmann
author: Terence Tao
published in: Publicacions Matemàtiques
publication date: 2003-06-18T00:00:00Z
full work available at URL: https://arxiv.org/abs/math/0108138
full work available at URL: https://eudml.org/doc/41454
review text: The paper under review is mainly expository and, as stated by the authors, its purpose is to demonstrate that the theory of Carleson measures and the theory of trees are closely related. For the sake of simplicity only the one-dimensional case in the dyadic setting is considered. The main result is a new two-sided local \(T(b)\) theorem that in this dyadic setting is stronger than the local \(T(b)\) theorem of \textit{M. Christ} [Colloq. Math. 60/61, 601-628 (1990; Zbl 0758.42009)].
Mathematics Subject Classification ID: 42B20
Mathematics Subject Classification ID: 42B25
Mathematics Subject Classification ID: 42C40
zbMATH DE Number: 1876873
zbMATH Keywords: Haar wavelets
zbMATH Keywords: BMO
zbMATH Keywords: accretivity
zbMATH Keywords: \(T(b)\) theorems
zbMATH Keywords: extrapolation
zbMATH Keywords: Calderón-Zygmund theory
reviewed by: Joan Cerdà
MaRDI profile type: Publication
arXiv ID: math/0108138
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description: scientific article