The sharp bound for the Hilbert transform on weighted Lebesgue spaces in terms of the classical A p characteristic
The sharp bound for the Hilbert transform on weighted Lebesgue spaces in terms of the classical A p characteristic
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DOI：
10.1353/ajm.2007.0036
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发表时间：
2007
影响因子：
1.7
通讯作者：
S. Petermichl
中科院分区：
文献类型：
--
作者：
S. Petermichl
我们证明了希尔伯特变换的范数作为加权空间(ω)中2≤p p特征的ω的一个算子。这一结果是尖锐的。证明了一个条件简单的双线性嵌入定理。
We show that the norm of the Hilbert transform as an operator in the weighted space (ω) for 2 ≤ p p characteristic of ω. This result is sharp. We also prove a bilinear imbedding theorem with simple conditions.