A New Characterization of Compactness for the Toeplitz and Hankel Operators of the Weighted Bergman space
Received:January 03, 1996  Revised:January 12, 1998
Key Words: weighted Bergman space   Toeplitz operator   Hankel operator   compact operator.  
Fund Project:
Author NameAffiliation
Liu Yongmin Dept. of Math.
Xuzhou Normal University
Xuzhou 221009 
Hits: 2132
Download times: 1920
Abstract:
      In this paper a study is given to the compactness of the Toeplitz and Hankel operators of the weighted Bergman space A p,α (p>1) . It is shown that the compactness of the Toeplitz and Hankel operators with symbol in L ∞(B) does not depend on the weighted Bergman space A p,α (B)(p>1) .
Citation:
DOI:10.3770/j.issn:1000-341X.1999.05.016
View Full Text  View/Add Comment  
  Copyright © Journal of Mathematical Research with Applications
Sponsored by：Dalian University of Technology, China Society for Industrial and Applied Mathematics
Address：No.2 Linggong Road, Ganjingzi District, Dalian City, Liaoning Province, P. R. China , Postal code ：116024
Service Tel：86-411-84707392 Email：jmre@dlut.edu.cn
Designed by Beijing E-tiller Co.,Ltd.
Due to security factors, early browsers cannot log in. It is recommended to log in with IE10, IE11, Google, Firefox, and 360 new browsers.