Algebra of Calderón-Zygmund operators associated to para-accretive functions

Yongsheng Han, Ming Yi Lee, Chin Cheng Lin

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

By use of special wavelet bases associated to accretive or pseudo-accretive functions, it was proved that all Calderón-Zygmund operators satisfying certain conditions form an algebra. In this article, a similar result is proved for more general para-accretive functions. Since wavelet bases are not available for this general setting, the new idea used here is to apply the discrete Calderón-type reproducing formula associated to para-accretive functions developed in [14]. This new method can be applied to many other problems, where wavelet bases are not available.

Original languageEnglish
Pages (from-to)581-596
Number of pages16
JournalJournal of Fourier Analysis and Applications
Volume12
Issue number5
DOIs
StatePublished - Oct 2006

Keywords

  • Calderón-Zygmund operators
  • Para-accretive functions
  • T b theorem

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