Weighted hardy spaces associated to para-accretive functions

Sen Hua Lan, Chin Cheng Lin

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


In this article, after establishing weighted Plancherel-Pôlya-type inequalities, we introduce a new class of weighted Hardy spaces Hb,wp by using g-function, where w is a Muckenhoupt's weight and b is a para-accretive function. Then we show the atomic decomposition and molecular characterization of Hb,wp. As applications, we prove the boundedness of Calderón-Zygmund operators between Hb,wp and classical weighted Hardy spaces Hwp.

Original languageEnglish
Pages (from-to)1055-1078
Number of pages24
JournalTaiwanese Journal of Mathematics
Issue number3 B
StatePublished - Jun 2010


  • Atomic decomposition
  • Calderón-zygmund operators
  • Hardy spaces
  • Molecular characterization
  • Plancherel-pôlya inequality


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