Acta mathematica scientia,Series A ›› 2004, Vol. 24 ›› Issue (3): 375-380.

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Schatten Class of Small Hankel Operators \=on Weighted Bergman Spaces

 LIU Yong-Min   

  • Online:2004-06-22 Published:2004-06-22
  • Supported by:

    江苏省教育厅自然科学基金资助(03KJD140210)

Abstract:

The  small Hankel operators on weighted Bergman spaces  of bounded symmetric domains Ω in  C\+n with symbols in  L\+2(Ω, dV\-λ) are studied. Characterizations for the membership in the  Schatten  classes  of the small Hankel operators   h\-Φ  are presented in  terms of a certain integral transform of the symbol Φ.

Key words: Small Hankel operator, Schatten ideal, Weighted Bergman space, Integral transform

CLC Number: 

  • 47B38|47B35|47B10
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