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arXiv · 2009.01951

Zero products of Toeplitz operators on Reinhardt domains

Zeljko Cuckovic·Zhenghui Huo·Sonmez Sahutoglu
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Abstract

Let $\Omega$ be a bounded Reinhardt domain in $\mathbb{C}^n$ and $\phi_1,\ldots,\phi_m$ be finite sums of bounded quasi-homogeneous functions. We show that if the product of Toeplitz operators $T_{\phi_m}\cdots T_{\phi_1}=0$ on the Bergman space on $\Omega$, then $\phi_j=0$ for some $j$.

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Zeljko Cuckovic, Zhenghui Huo, Sonmez Sahutoglu. 2020-09-03. Zero products of Toeplitz operators on Reinhardt domains. https://doi.org/10.4153/s0008439521000187

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