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

›› 2020, Vol. 37 ›› Issue (1): 1-5.DOI: 10.7523/j.issn.2095-6134.2020.01.001

• Research Articles •     Next Articles

Sharp bounds for fractional Hardy operator on higher-dimensional product spaces

LI Xiang1, WEI Mingquan2, YAN Dunyan1   

  1. 1 School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China;
    2 School of Mathematics and Statistics, Xinyang Normal University, Xinyang 464000, Henan, China
  • Received:2019-01-15 Revised:2019-02-26 Online:2020-01-15
  • Supported by:
    Supported by the National Nature Science Foundation of China (11471039), Project of Henan Provincial Department of Education (18A110028), and the Nanhu Scholar Program for Young Scholars of Xinyang Normal University

Abstract: In this paper, we get the sharp bounds for fractional Hardy operator on higherdimensional product spaces from L1(Rn1×…×Rnm) to the space wLQ(Rn1×…×Rnm). More generally, the norm of fractional Hardy operator on higher-dimensional product spaces from LP(Rn1×…×Rnm) to LQI(Rn1×…×Rnm) is obtained.

Key words: fractional Hardy operator, operator norm, product space, LQI

CLC Number: