A maximal function for families of Hilbert transforms along homogeneous curves
A maximal function for families of Hilbert transforms along homogeneous curves
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DOI：
10.1007/s00208-019-01915-3
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发表时间：
2019-01
影响因子：
1.4
通讯作者：
Shaoming Guo;J. Roos;A. Seeger;Po-Lam Yung
中科院分区：
文献类型：
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作者：
Shaoming Guo;J. Roos;A. Seeger;Po-Lam Yung
设为沿着抛物线的希尔伯特变换。对于一个正数集合U，考虑极大函数。我们得到了关于算子范数的一个（本质上）最优结果。证明的结果为家庭的希尔伯特变换沿着更一般的非平坦的齐次曲线。
Letbe the Hilbert transform along the parabolawhere. For a setUof positive numbers consider the maximal function. We obtain an (essentially) optimal result for theoperator norm ofwhen. The results are proved for families of Hilbert transforms along more general nonflat homogeneous curves.