Chinese Quarterly Journal of Mathematics ›› 2009, Vol. 24 ›› Issue (1): 63-68.

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Commuting Dual Toeplitz Operators on the Polydisk 

  

  1. Department of Mathematics,Zhejiang Normal University
  • Received:2005-10-13 Online:2009-03-30 Published:2023-09-07
  • About author: CHENG Guo-zheng(1982- ), male, native of Wenlin, Zhejiang, Ph.D., engages in operator theory; YU Tao(1967- ), male, native of Fushun, Liaoning, a professor of Zhejiang Normal University, Ph.D., engages in operator theory.
  • Supported by:
     Supported by the Science Foundation of Zhejiang Education Hall(20040850);

Abstract: We completely characterize commutativity of S and Sψ on La2(Dn)⊥ for bounded pluriharmonic symbols  and ψ on Dn, and prove that SSψ = Sψ if and only if  is analytic or ψˉ is analytic.

Key words: Bergman space, dual Toeplitz operator, pluriharmonic

CLC Number: