摘要
证明,对于任意一个非零D(R^n)函数f,它的Riesz变换R_jf不具有紧支集。这推广了已知的Hilbert变换的结果。
In this work,we prove that,for a non-zero function f ∈ D（R^n）,its Riesz transform Rjf does not have compact support,which improves the known result of Hilbert transform.
出处
《中国科学院大学学报（中英文）》
CSCD
北大核心
2017年第6期657-659,共3页
Journal of University of Chinese Academy of Sciences
基金
Supported by the National Nature Science Foundation of China(11471309,11271162,and 11561062)
Project of Henan Provincial Department of Education(18A110028)
