Weighted estimates for commutators of strongly singular Calderón–Zygmund operators

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• 作者：Yan Lin ; Guo Ming Zhang
• 关键词：Strongly singular Calderón–Zygmund operator ; weighted BMO function ; weighted Lipschitz function
• 刊名：Acta Mathematica Sinica
• 出版年：2016
• 出版时间：November 2016
• 年：2016
• 卷：32
• 期：11
• 页码：1297-1311
• 全文大小：263 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  Chinese Library of Science
  
• 出版者：Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society, co-published
• ISSN：1439-7617
• 卷排序：32

文摘

In this paper, the authors establish the boundedness of commutators generated by strongly singular Calderón–Zygmund operators and weighted BMO functions on weighted Herz-type Hardy spaces. Moreover, the corresponding results for commutators generated by strongly singular Calderón–Zygmund operators and weighted Lipschitz functions can also be obtained.