Acta mathematica scientia,Series B ›› 2000, Vol. 20 ›› Issue (1): 27-34.

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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

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

CLC Number: 

  • 47B38
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