Boundedness of oscillatory integral operators and their commutators on weighted Morrey spaces

Boundedness of oscillatory integral operators and their commutators on weighted Morrey spaces
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DOI：
10.1360/012012-150
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发表时间：
2011-11
期刊：
arXiv: Functional Analysis
影响因子：
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通讯作者：
Zunwei Fu;S. Shi;Shan-zhen Lu
Zunwei Fu;S. Shi;Shan-zhen Lu
中科院分区：
其他
文献类型：
--
作者：
Zunwei Fu;S. Shi;Shan-zhen Lu

文献摘要

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证明了振荡积分算子和分数阶振荡积分算子在加权Morrey空间上都是有界的。文中还考虑了由$BMO$函数生成的相应交换子。
It is proved that both oscillatory integral operators and fractional oscillatory integral operators are bounded on weighted Morrey spaces. The corresponding commutators generated by $BMO$ functions are also considered.