Chinese Quarterly Journal of Mathematics ›› 2004, Vol. 19 ›› Issue (2): 111-119.

    Next Articles

Weighted Composition Operators between Hardy Spaces on the Unit Ball

  

  1. Department of Mathematics, University of Science and Technology of China, Hefei 230026, China; Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China
  • Received:2004-01-05 Online:2004-06-30 Published:2024-03-15
  • About author:XU Hui-ming(1963-),male,native of Fengcheng,Jiangxi,an associate professor of Zhejiang Normal University,engages in SCV;LIU Tai-shun(1957-),male,native of Huoshan,Anhui,a professor of University of Science and Technology of China,engages in SCV.
  • Supported by:
     Supported in part by 973 plan and NSF of Zhejiang Province of China(Gl999075105);

Abstract: We consider the weighted composition operators between Hardy spaces on the unit ball, and obtain some sufficient and necessary conditions of bounded or compact weighted composition operators. We also prove that the operator from H1 to H1 is compact if and only if it is weakly compact. Meanwhile, we get the analogue on the Bergman spaces.



Key words: Hardy space, Bergman space, weighted composition operator, s-Carleson mea-
sure

CLC Number: