Para-Accretive Functions and Hardy Spaces

Yongsheng Han, Ming Yi Lee, Chin Cheng Lin

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


In this paper, we study the structure of the Hardy space H p b associated with a para-accretive function b, which was introduced in Han et al. (J. Geom. Anal. 14:291-318, 2004). The main result is to establish a new atomic decomposition of H p b. As applications, we obtain criterions for the boundedness of operators on H p b and a characterization of the dual space of H p b. The classification of H p b and Calderón-Zygmund decomposition are also discussed.

Original languageEnglish
Pages (from-to)67-90
Number of pages24
JournalIntegral Equations and Operator Theory
Issue number1
StatePublished - Jan 2012


  • Approximation to the identity
  • atomic decomposition
  • BMO
  • Calderón reproducing formula
  • extension of operators
  • Hardy space
  • para-accretive function


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