Hpw - Lpw boundedness of marcinkiewicz integral

Chin Cheng Lin, Ying Chieh Lin

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7 Scopus citations


The Marcinkiewicz integral is essentially a Littlewood-Paley g-function, which plays a very important role in harmonic analysis. In this paper we give weaker smoothness conditions assumed on Ω to imply the Hw p - Lwp boundedness of the Marcinkiewicz integral operator μΩ, where w belongs to the Muckenhoupt weight class.

Original languageEnglish
Pages (from-to)87-98
Number of pages12
JournalIntegral Equations and Operator Theory
Issue number1
StatePublished - May 2007


  • A weights
  • Dini-type condition
  • Marcinkiewicz integral
  • Weighted Hardy spaces


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