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Hilbert-Schmidt Hankel operators with anti-holomorphic symbols on complex ellipsoids - MaRDI portal

Hilbert-Schmidt Hankel operators with anti-holomorphic symbols on complex ellipsoids (Q361897)

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scientific article; zbMATH DE number 6199456
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Hilbert-Schmidt Hankel operators with anti-holomorphic symbols on complex ellipsoids
scientific article; zbMATH DE number 6199456

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    Hilbert-Schmidt Hankel operators with anti-holomorphic symbols on complex ellipsoids (English)
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    19 August 2013
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    The main result of the paper under review is that, on the Bergman space \(A^2\) on complex ellipsoids, a Hilbert-Schmidt Hankel operator with anti-analytic symbol must be the zero operator.
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    Hankel operators
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    Hilbert-Schmidt operators
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    complex ellipsoids
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    canonical solution operator for \(\overline{\partial}\)-problem
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