# Zero products of Toeplitz operators on Reinhardt domains Article (Web of Science)

### abstract

• 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.

• 2021

• 9

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