Calderón-Zygmund Operators on Weighted Hardy Spaces

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We study the boundedness of Calderón-Zygmund operators on weighted Hardy spaces Hwp using Littlewood-Paley theory. It is shown that if a Calderón-Zygmund operator T satisfies T*1 = 0, then T is bounded on Hwp for w ∈ AP(1+ε/n) and n/n+ε < p ≤ 1, where ε is the regular exponent of the kernel of T.

Original languageEnglish
Pages (from-to)699-709
Number of pages11
JournalPotential Analysis
Issue number3
StatePublished - Apr 2013


  • Calderón-Zygmund operators
  • Littlewood-Paley theory
  • Weighted Hardy spaces


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