A Fefferman-Stein inequality for the Carleson operator

2014/10/22 by Beltran, David
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1410.6085

Abstract

We provide a Fefferman-Stein type weighted inequality for maximally modulated Calderón-Zygmund operators that satisfy a priori weak type unweighted estimates. This inequality corresponds to a maximally modulated version of a result of Pérez. Applying it to the Hilbert transform we obtain the corresponding Fefferman-Stein inequality for the Carleson operator C, that is C: L^p(M^{\lfloor p \rfloor +1}w) → L^p(w) for any 1

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