Zero products of Toeplitz operators on Reinhardt domains. Issue 1 (8th March 2022) - Čučković, Željko
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 .