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Keywords:
Bergman space; Toeplitz operator; Hankel operator; Berezin transform
Bergman space; Toeplitz operator; Hankel operator; Berezin transform
Summary:
We study algebraic properties of two Toeplitz operators on the weighted Bergman space on the unit disk with harmonic symbols. In particular the product property and commutative property are discussed. Further we apply our results to solve a compactness problem of the product of two Hankel operators on the weighted Bergman space on the unit bidisk.
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