A wavelet characterization for the dual of weighted Hardy spaces

Ming Yi Lee, Chin Cheng Lin, Ying Chieh Lin

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

We define the weighted Carleson measure space CMOwp using wavelets, where the weight function w belongs to the Muckenhoupt class. Then we show that CMOwp is the dual space of the weighted Hardy space Hwp by using sequence spaces. As an application, we give a wavelet characterization of BMOw.

Original languageEnglish
Pages (from-to)4219-4225
Number of pages7
JournalProceedings of the American Mathematical Society
Volume137
Issue number12
DOIs
StatePublished - Nov 2009

Keywords

  • BMO
  • Orthonormal wavelets
  • Weighted Carleson measure spaces
  • Weighted Hardy spaces

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