Finite sums of Toeplitz products on the Dirichlet space (Q1029121)
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scientific article; zbMATH DE number 5577088
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finite sums of Toeplitz products on the Dirichlet space |
scientific article; zbMATH DE number 5577088 |
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Finite sums of Toeplitz products on the Dirichlet space (English)
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9 July 2009
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The paper deals with a class of operators on the Dirichlet space of the unit disk which contain finite sums of products of two Toeplitz operators with harmonic symbols. The author presents characterizations for these operators to be zero and compact, and provides an answer to the ``zero-product'' problem for products of finitely many Toeplitz operators with harmonic symbols.
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Toeplitz operator
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Dirichlet space
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Bergman space
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