Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (6): 1550-1558.

• Articles • Previous Articles     Next Articles

Toeplitz Products on Vector-valued Bergman Spaces of the Unit Ball

 YU Thao, ZHU Ruo-Wei   

  1. Department of Mathematics, Zhejiang Normal University, Zhejiang Jinhua 310028
  • Received:2010-04-29 Revised:2011-10-18 Online:2011-12-25 Published:2011-12-25
  • Supported by:

    国家自然科学基金(10971195, 10771064)和浙江省自然科学基金(Y6090689, Y6110260)资助

Abstract:

In this paper the authors  obtain a sufficient condition and a necessary condition for the Toeplitz product TFTG* on vector-valued Bergman spaces of the unit ball to be bounded respectively, where F and G are matrices which entries are square-integrable and analytic functions on the unit ball.

Key words: Vector-valued Bergman space, Toeplitz operator, Berezin transform, Trace

CLC Number: 

  • 47B35
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