Welcome to Journal of University of Chinese Academy of Sciences,Today is

›› 2017, Vol. 34 ›› Issue (6): 657-659.DOI: 10.7523/j.issn.2095-6134.2017.06.001

    Next Articles

A note of Riesz transform on D(Rn)

WEI Mingquan1,2, SHEN Feng2, YAN Dunyan2   

  1. 1. School of Mathematics and Statistics, Xinyang Normal University, Xinyang 464000, Henan, China;
    2. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China
  • Received:2016-06-08 Revised:2016-07-13 Online:2017-11-15
  • Supported by:
    Supported by the National Nature Science Foundation of China (11471309, 11271162, and 11561062), and Project of Henan Provincial Department of Education(18A110028)

Abstract: In this work, we prove that, for a non-zero function fD(Rn), its Riesz transform Rjf does not have compact support, which improves the known result of Hilbert transform.

Key words: Riesz transform, D(Rn), compact support

CLC Number: