The Holmes–Wick theorem on two-weight bounds for higher order commutators revisited

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• 作者：T. P. Hytönen
• 关键词：Commutator ; Two ; weight inequality ; Ap weight ; Bounded mean oscillation
• 刊名：Archiv der Mathematik
• 出版年：2016
• 出版时间：October 2016
• 年：2016
• 卷：107
• 期：4
• 页码：389-395
• 全文大小：436 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  
• 出版者：Birkh盲user Basel
• ISSN：1420-8938
• 卷排序：107

文摘

A sufficient condition for the two-weight boundedness of higher order commutators was recently obtained by Holmes and Wick in terms of an intersection of two BMO spaces. We provide an alternative proof, showing that the higher order case can be deduced by a classical Cauchy integral argument from the corresponding first order result of Holmes, Lacey and Wick.