Weighted estimates for commutators of strongly singular Calderón–Zygmund operators

Weighted estimates for commutators of strongly singular Calderón–Zygmund operators
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DOI：
10.1007/s10114-016-6154-3
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发表时间：
2016-10
期刊：
Acta Mathematica Sinica, English Series
影响因子：
--
通讯作者：
Yan Lin;Guo Ming Zhang
Yan Lin;Guo Ming Zhang
中科院分区：
其他
文献类型：
--
作者：
Yan Lin;Guo Ming Zhang

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在加权Herz-型哈代空间上建立了由强奇异Calderón-Zygmund算子和加权BMO函数生成的算子的有界性.此外，对于由强奇异Calderón-Zygmund算子和加权Lipschitz函数生成的算子，也得到了相应的结果.
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.