离散粗糙奇异积分算子逆的弱（1，1）型估计
Weak type (1,1) estimates for inverses of discrete rough singular integral operators
摘要：
得到了截断离散粗糙希尔伯特变换逆的弱（1，1）型估计.我们还举例说明了结果是尖锐的.证明的成分之一是与序列$[m^α]$相关的奇异测度卷积的正则性估计。
英文摘要：
We obtain weak type (1,1) estimates for the inverses of truncated discrete rough Hilbert transform. We include an ex- ample showing that our result is sharp. One of the ingredients of the proof are regularity estimates for convolution of singular measure associated with the sequence $[m^α]$.
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