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

Author/s	Lerner, Andrei K. Ombrosi, Sheldy J. Pérez Moreno, Carlos
Department	Universidad de Sevilla. Departamento de Análisis Matemático
Date	2009
Published in	Mathematical Research Letters, 16 (1), 149-156.
Abstract	We obtain an Lp(w) bound for Calderón-Zygmund operators T when w ∈ A1. This bound is sharp both with respect to ∥w∥A1 and with respect to p. As a result, we get a new L1,∞(w) estimate for T related to a problem of Muckenhoupt and Wheeden.
Funding agencies	Ministerio de Educación y Ciencia (MEC). España
Project ID.	MTM2006-05622
Citation	Lerner, A.K., Ombrosi, S.J. y Pérez Moreno, C. (2009). A1 bounds for Calderón-Zygmund operators related to a problem of Muckenhoupt and Wheeden. Mathematical Research Letters, 16 (1), 149-156.