Finite rank products of Toeplitz operators on the harmonic Bergman space (Q627372)
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scientific article; zbMATH DE number 5858879
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finite rank products of Toeplitz operators on the harmonic Bergman space |
scientific article; zbMATH DE number 5858879 |
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Finite rank products of Toeplitz operators on the harmonic Bergman space (English)
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1 March 2011
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The harmonic Bergman space is the set of all complex-valued harmonic functions \(f\) on the open unit ball in \(\mathbb R^n\) (\(n\geq2\)) such that \[ \| f \|_{2}= \left\{\int_B|f|^{2}\,dV \right\}^{1/2}<\infty. \] It is shown that, if the product of Toeplitz operators with harmonic symbols having some boundary smoothness has finite rank, then one of the symbols is identically zero.
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harmonic Bergman space
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Toeplitz operator
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harmonic symbol
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finite rank operator
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