A two weight local $Tb$ theorem for the Hilbert transform

A two weight local $Tb$ theorem for the Hilbert transform
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希尔伯特变换的两个权重局部 $Tb$ 定理

DOI:
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发表时间:
2017
期刊:
Revista matemática iberoamericana
影响因子:
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通讯作者:
I. Uriarte
I. Uriarte
中科院分区:
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文献类型:
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作者:
E. Sawyer;Chun;I. Uriarte

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We obtain a two weight local Tb theorem for any elliptic and gradient elliptic fractional singular integral operator T on the real line, and any pair of locally finite positive Borel measures on the line. This includes the Hilbert transform and in a sense improves on the T1 theorem by the authors and M. Lacey.