Generalized Calderón-Zygmund operators on homogeneous groups and applications

Der Chen Chang, Ming Yi Lee

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


There are two folds of this article. The first part is concentrating on estimates for generalized Calderón-Zygmund operators acting on Hardy spaces H p (G). Here G is a simply connected homogeneous Lie group. We also obtained estimates on the spaces L (G) and BMO p (G). The second part of this article is applications of results from the first part to the (Formula presented.) -Neumann problem on bounded, smoothly pseudoconvex domains in C n+1 . We obtain H p estimates for the Calderón operator when G = H n , the n-dimensional Heisenberg group.

Original languageEnglish
Pages (from-to)531-554
Number of pages24
JournalInternational Journal of Phytoremediation
Issue number5
StatePublished - May 2008


  • BMO
  • Calderón operator
  • Calderón-Zygmund operator
  • Hardy spaces
  • Heisenberg group
  • Homogeneous group
  • Pseudo-differential operators of Poisson type
  • \bar \partial -Neumann problem


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