论文标题
二元和连续的希尔伯特在巴拉克空间中的价值转化
The dyadic and the continuous Hilbert transforms with values in Banach spaces
论文作者
论文摘要
我们表明,如果希尔伯特在Banach空间中具有价值的变换为$ l^p $,那么二元希尔伯特变换也是如此,具有线性关系。
We show that if the Hilbert transform with values in a Banach space is $L^p$ bounded, then so is the dyadic Hilbert transform, with a linear relation of the norms.