Geodesic
Zero products of Toeplitz operators on Reinhardt domains
Canadian mathematical bulletin, Tome 65 (2022) no. 1, pp. 170-179

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DOI

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.
DOI : 10.4153/S0008439521000187
Mots-clés : Toeplitz operator, Reinhardt domain, Bergman space, quasi-homogeneous 
Čučković, Željko; Huo, Zhenghui; Şahutoğlu, Sönmez. Zero products of Toeplitz operators on Reinhardt domains. Canadian mathematical bulletin, Tome 65 (2022) no. 1, pp. 170-179. doi: 10.4153/S0008439521000187
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     title = {Zero products of {Toeplitz} operators on {Reinhardt} domains},
     journal = {Canadian mathematical bulletin},
     pages = {170--179},
     year = {2022},
     volume = {65},
     number = {1},
     doi = {10.4153/S0008439521000187},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439521000187/}
}
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