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arXiv · 1604.07059

Hilbert-Schmidt Hankel operators over semi-Reinhardt domains

Tomasz Beberok·Nihat Gokhan Gogus
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Abstract

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.

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Tomasz Beberok, Nihat Gokhan Gogus. 2016-04-24. Hilbert-Schmidt Hankel operators over semi-Reinhardt domains. https://arxiv.org/abs/1604.07059

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