By Tomasz Beberok and Nihat Gökhan Gögüş

Let *\Omega* be an arbitrary bounded semi-Reinhardt domain in *\mathbb{C}^{m+n}*. We show that for *m \geq 2*, if a Hankel operator with an anti-holomorphic symbol is Hilbert-Schmidt on the Bergman space *L_a^2(\Omega)*, then it must equal zero. This fact has previously been proved for Reinhardt domains.

May 2, 2016

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Hilbert-Schmidt Hankel operators over semi-Reinhardt domains

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