Tensor Products of Weighted Bergman Spaces and Invariant Ha-Plitz Operators.

Genkai Zhang

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Displaying similar documents to “Tensor Products of Weighted Bergman Spaces and Invariant Ha-Plitz Operators.”

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We consider Hilbert spaces which are counterparts of the de Branges-Rovnyak spaces in the context of the weighted Bergman spaces A2α, −1 < α < ∞. These spaces have already been studied in [8], [7], [5] and [1]. We extend some results from these papers

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Boundedness and compactness of weighted composition operators between weighted Bergman spaces

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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.

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