On some sharp weighted norm inequalities

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Abstract

Given a weight ω, we consider the space MLωp which coincides with Lωp when ω ∈ Ap. Sharp weighted norm inequalities on MLωp for the Calderón-Zygmund and Littlewood-Paley operators are obtained in terms of the Ap characteristic of ω for any 1 < p < ∞.

Original languageEnglish
Pages (from-to)477-494
Number of pages18
JournalJournal of Functional Analysis
Volume232
Issue number2
DOIs
StatePublished - 15 Mar 2006

Keywords

  • Calderón-Zygmund and Littlewood-Paley operators
  • Local sharp maximal function
  • Sharp weighted estimates

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