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Algebraic properties of Toeplitz operators on weighted Bergman spaces
Czechoslovak Mathematical Journal, Tome 71 (2021) no. 3, pp. 823-836 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
DOI : 10.21136/CMJ.2020.0108-20
Classification : 47B35
Keywords: Bergman space; Toeplitz operator; Hankel operator; Berezin transform 
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Appuhamy, Amila. Algebraic properties of Toeplitz operators on weighted Bergman spaces. Czechoslovak Mathematical Journal, Tome 71 (2021) no. 3, pp. 823-836. doi: 10.21136/CMJ.2020.0108-20

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