(D)(Rn)函数的Riesz变换的一个注记

摘要

证明,对于任意一个非零(D)(Rn)函数f,它的Riesz变换Rjf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 functionf ∈ (D)(R n),its Riesz transform Rf does not have compact support,which improves the known result of Hilbert transform.