Semi-Commutators of Toeplitz Operators on Ap(φ)
Received:June 04, 2001  
Key Words: weighted Bergman space   Toeplitz operator   semi-commutator   harmonic function.  
Fund Project:
Author NameAffiliation
YU Tao Dept. of Math.
Zhejiang Normal University
Jinhua
China 
SUN Shan-li Dept. of Appl. Math.
Beijing University of Aeronautics and Astronautics
Beijing
China 
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Abstract:
      In this paper, we investigate the semi-commutators of Toeplitz operators on the weighted Bergman spaces Ap(φ), and characterize the bounded harmonic functions u and v on the unit disk for which the semi-commutator of Toeplitz operators Tu and Tv is 0 or compact operator.
Citation:
DOI:10.3770/j.issn:1000-341X.2004.01.002
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