Artículo

Sharp A1 Bounds for Calderón-Zygmund Operators and the Relationship with a Problem of Muckenhoupt and Wheeden

Lerner, Andrei K.; Ombrosi, Sheldy JavierIcon ; Pérez, Carlos
Fecha de publicación: 12/2008
Editorial: Oxford University Press
Revista: International Mathematics Research Notices
ISSN: 1073-7928
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

For any Calderón–Zygmund operator T the following sharp estimate is obtained for 1 < p < ∞: formula where formula⁠. In the case where p = 2 and T is a classical convolution singular integral, this result is due to R. Fefferman and J. Pipher [7]. Then, we deduce the following weak type (1, 1) estimate related to a problem of Muckenhoupt and Wheeden [11]: formula where w ∈ A1 and φ(t) = t(1 + log+t)(1 + log+ log+t).
Palabras clave: singular integrals , weights
 
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info:eu-repo/semantics/restrictedAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/244864
DOI: https://doi.org/10.1093/imrn/rnm161
URL: https://academic.oup.com/imrn/article-abstract/doi/10.1093/imrn/rnm161/687858?re
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Articulos(INMABB)
Articulos de INST.DE MATEMATICA BAHIA BLANCA (I)
Citación
Lerner, Andrei K.; Ombrosi, Sheldy Javier; Pérez, Carlos; Sharp A1 Bounds for Calderón-Zygmund Operators and the Relationship with a Problem of Muckenhoupt and Wheeden; Oxford University Press; International Mathematics Research Notices; 2008; 12-2008; 1222-1232
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