A Fefferman–Stein inequality for the Carleson operator

• David Beltran Portales
  1. [1] Universitat de València

     Universitat de València

     Valencia, España

     
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 34, Nº 1, 2018, págs. 221-244
• Idioma: inglés
• DOI: 10.4171/RMI/984
• Texto completo no disponible (Saber más ...)
• Resumen

  • 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