Carleson measures, trees, extrapolation, and T(b) theorems.

Auscher, Pascal, et al. "Carleson measures, trees, extrapolation, and T(b) theorems.." Publicacions Matemàtiques 46.2 (2002): 257-325. <http://eudml.org/doc/41454>.

@article{Auscher2002,
abstract = {The theory of Carleson measures, stopping time arguments, and atomic decompositions has been well-established in harmonic analysis. More recent is the theory of phase space analysis from the point of view of wave packets on tiles, tree selection algorithms, and tree size estimates. The purpose of this paper is to demonstrate that the two theories are in fact closely related, by taking existing results and reproving them in a unified setting. In particular we give a dyadic version of extrapolation for Carleson measures, as well as a two-sided local dyadic T(b) theorem which generalizes earlier T(b) theorems of David, Journé, Semmes, and Christ.},
author = {Auscher, Pascal, Hofmann, Steve, Muscalu, Camil, Tao, Terence, Thiele, Christoph},
journal = {Publicacions Matemàtiques},
keywords = {Análisis de Fourier; Integrales singulares; Operadores de Calderón-Zygmund; Operadores maximales; Ondículas; Extrapolación; Medidas de Carleson; Haar wavelets; BMO; accretivity; theorems; extrapolation; Calderón-Zygmund theory},
language = {eng},
number = {2},
pages = {257-325},
title = {Carleson measures, trees, extrapolation, and T(b) theorems.},
url = {http://eudml.org/doc/41454},
volume = {46},
year = {2002},
}

TY - JOUR
AU - Auscher, Pascal
AU - Hofmann, Steve
AU - Muscalu, Camil
AU - Tao, Terence
AU - Thiele, Christoph
TI - Carleson measures, trees, extrapolation, and T(b) theorems.
JO - Publicacions Matemàtiques
PY - 2002
VL - 46
IS - 2
SP - 257
EP - 325
AB - The theory of Carleson measures, stopping time arguments, and atomic decompositions has been well-established in harmonic analysis. More recent is the theory of phase space analysis from the point of view of wave packets on tiles, tree selection algorithms, and tree size estimates. The purpose of this paper is to demonstrate that the two theories are in fact closely related, by taking existing results and reproving them in a unified setting. In particular we give a dyadic version of extrapolation for Carleson measures, as well as a two-sided local dyadic T(b) theorem which generalizes earlier T(b) theorems of David, Journé, Semmes, and Christ.
LA - eng
KW - Análisis de Fourier; Integrales singulares; Operadores de Calderón-Zygmund; Operadores maximales; Ondículas; Extrapolación; Medidas de Carleson; Haar wavelets; BMO; accretivity; theorems; extrapolation; Calderón-Zygmund theory
UR - http://eudml.org/doc/41454
ER -