Algebraic properties of Toeplitz operators on the pluriharmonic Bergman space (Q1951075)
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scientific article; zbMATH DE number 6167908
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Algebraic properties of Toeplitz operators on the pluriharmonic Bergman space |
scientific article; zbMATH DE number 6167908 |
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Algebraic properties of Toeplitz operators on the pluriharmonic Bergman space (English)
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29 May 2013
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The authors study a number of algebraic properties of Toeplitz operators with radial and/or quasihomogeneous symbols acting on the pluriharmonic Bergman space over the unit ball. The questions under study include a criterion for the product of two Toeplitz operators with radial symbols to be a Toeplitz operator, the zero-product problem for several Toeplitz operators with radial symbols, the finite rank product problem of a finite number of Toeplitz operators with quasihomogeneous symbols, the finite rank commutators and semicommutators problem for two Toeplitz operators with quasihomogeneous symbols.
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unit ball
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pluriharmonic Bergman space
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Toeplitz operator
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radial symbol
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quasihomogeneous symbol
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