A1 bounds for Calderón-Zygmund operators related to a problem of Muckenhoupt and Wheeden

• Autores: Andrei K. Lerner, Sheldy J. Ombrosi , Carlos Pérez Moreno
• Localización: Mathematical research letters, ISSN 1073-2780, Vol. 16, Nº 1, 2009, págs. 149-156
• Idioma: inglés
• DOI: 10.4310/mrl.2009.v16.n1.a14
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• Resumen

  • We obtain an $L^p(w)$ bound for Calder\'on-Zygmund operators $T$ when $w\in A_1$. This bound is sharp both with respect to $\|w\|_{A_1}$ and with respect to $p$. As a result, we get a new $L^{1,\infty}(w)$ estimate for $T$ related to a problem of Muckenhoupt and Wheeden.