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Resumen de A Fefferman–Stein inequality for the Carleson operator

David Beltran Portales

  • 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 inequality for the Carleson operator C, that is C:Lp(M⌊p⌋+1w)→Lp(w) for any $1


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