A1 bounds for Calderón-Zygmund operators related to a problem of Muckenhoupt and Wheeden
- Lerner, Andrei K.
- Ombrosi, Sheldy Javier
- Pérez, Carlos
Publication date
December 2009
DOI Publisher
International Press of Boston Journal
Mathematical Research LettersAbstract
We obtain an Lp(ω) bound for Calderón-Zygmund operators T when w∈ A1. This bound is sharp both with respect to ||ω||A1 and with respect to p. As a result, we get a new L1,∞°(ω) estimate for T related to a problem of Muckenhoupt and Wheeden.Fil: Lerner, Andrei K.. University Bar-llan; IsraelFil: Ombrosi, Sheldy Javier. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; ArgentinaFil: Pérez, Carlos. Universidad de Sevilla; Españ