Boundedness of Riesz transforms on weighted Carleson measure spaces

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Abstract

Let w be in the Muckenhoupt A weight class. We show that the Riesz transforms are bounded on the weighted Carleson measure space CMO p w, the dual of the weighted Hardy space H p w, 0 < p ≤ 1.

Original languageEnglish
Pages (from-to)169-187
Number of pages19
JournalStudia Mathematica
Volume209
Issue number2
DOIs
StatePublished - 2012

Keywords

  • Duality
  • Riesz transform
  • Weighted Carleson measure spaces
  • Weighted Hardy spaces

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