The boundedness of Calderón-Zygmund operators by wavelet characterization

Cheng Cong Hung, Ming Yi Lee

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


This article deals with the boundedness properties of Calderón-Zygmund operators on Hardy spaces H p(ℝ n). We use wavelet characterization of H p(ℝ n) to show that a Calderón-Zygmund operator T with T*1 = 0 is bounded on H p(ℝ n), n/n+ε < p ≤ 1, where ε is the regular exponent of kernel of T. This approach can be applied to the boundedness of operators on certain Hardy spaces without atomic decomposition or molecular characterization.

Original languageEnglish
Pages (from-to)1237-1248
Number of pages12
JournalActa Mathematica Sinica, English Series
Issue number6
StatePublished - Jun 2012


  • Calderón-Zygmund operators
  • Hardy spaces
  • para-product operators


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