Czechoslovak Mathematical Journal, first online, pp. 1-14
Algebraic properties of Toeplitz operators on weighted Bergman spaces
Received March 10, 2020. Published online December 17, 2020.
Abstract: 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.