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

Título inglés	Carleson measures, trees, extrapolation, and T(b) theorems.
Título español	Medidas de Carleson, árboles, extrapolación y teoremas T(b).
Autor/es	Auscher, Pascal ; Hofmann, Steve ; Muscalu, Camil ; Tao, Terence ; Thiele, Christoph
Organización	Lab. Amiénois Math. Fond. Appl. (LAMFA) Fac. Math. Informat. Univ. Picardie-Jules Verne, Amiens, Francia;Math. Dep. Univ. Missouri, Columbia (Missouri), Estados Unidos;Dep. Math. UCLA, Los Angeles (California), Estados Unidos
Revista	0214-1493
Publicación	2002, 46 (2): 257-325, 54 Ref.
Tipo de documento	articulo
Idioma	Inglés
Resumen inglés	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.
Clasificación UNESCO	120213
Palabras clave español	Análisis de Fourier ; Integrales singulares ; Operadores de Calderón-Zygmund ; Operadores maximales ; Ondículas ; Extrapolación ; Medidas de Carleson
Código MathReviews	MR1934198
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