Fractional integrals on weighted Hardy spaces

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In this paper, applying the atomic decomposition and molecular characterization of the real weighted Hardy spaces Hwp(ℝn), we give the weighted boundedness of the homogeneous fractional integral operator TΩ,α from Hwpp (ℝn) to Lwqq (ℝn), and from Hwpp (ℝn) to Hwqq (ℝn).

Original languageEnglish
Pages (from-to)356-368
Number of pages13
JournalJournal of Mathematical Analysis and Applications
Issue number1
StatePublished - 1 Jun 2003


  • A weights
  • Fractional integrals
  • L-Dini condition
  • Weighted Hardy spaces


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