数学物理学报(英文版) ›› 2000, Vol. 20 ›› Issue (1): 27-34.

• 论文 • 上一篇    下一篇

SMALL HANKEL OPERATORS ON WEIGHTED BERGMAN SPACES OF BOUNDED SYMMETRIC DOMAINS

 刘永民   

  1. Department of Mathematics, Xuzhou Normal University, Xuzhou 221009, China
  • 出版日期:2000-01-07 发布日期:2000-01-07

SMALL HANKEL OPERATORS ON WEIGHTED BERGMAN SPACES OF BOUNDED SYMMETRIC DOMAINS

 LIU Yong-Min   

  1. Department of Mathematics, Xuzhou Normal University, Xuzhou 221009, China
  • Online:2000-01-07 Published:2000-01-07

摘要:

The small Hankel operators on weighted Bergman space of bounded symmet-ric domains  in Cn with symbols in L2(, dV) are studied. aracterizations for the boundedness, compactness of the small Hankel operators h are presented in terms of a certain integral transform of the symbol .

关键词: Boundedness, compactness, small Hankel operator, integral transform

Abstract:

The small Hankel operators on weighted Bergman space of bounded symmet-ric domains  in Cn with symbols in L2(, dV) are studied. aracterizations for the boundedness, compactness of the small Hankel operators h are presented in terms of a certain integral transform of the symbol .

Key words: Boundedness, compactness, small Hankel operator, integral transform

中图分类号: 

  • 47B38