Algebraic properties of Toeplitz operators on the polydisk (Q657183)
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scientific article; zbMATH DE number 5997838
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Algebraic properties of Toeplitz operators on the polydisk |
scientific article; zbMATH DE number 5997838 |
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Algebraic properties of Toeplitz operators on the polydisk (English)
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16 January 2012
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Summary: We discuss some algebraic properties of Toeplitz operators on the Bergman space of the polydisk \(\mathbb D^n\). First, we introduce Toeplitz operators with quasihomogeneous symbols and property (P). Secondly, we study commutativity of certain quasihomogeneous Toeplitz operators and commutators of diagonal Toeplitz operators. Thirdly, we discuss finite rank semicommutators and commutators of Toeplitz operators with quasihomogeneous symbols. Finally, we solve the finite rank product problem for Toeplitz operators on the polydisk.
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polydisk
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Bergman space
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Toeplitz operator
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0.97430426
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0.9625649
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0.9453098
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0.9239166
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