Zero products of Toeplitz operators on Reinhardt domains
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2020
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| _version_ | 1866917919314673664 |
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| author | Cuckovic, Zeljko Huo, Zhenghui Sahutoglu, Sonmez |
| author_facet | Cuckovic, Zeljko Huo, Zhenghui Sahutoglu, Sonmez |
| contents | Let $Ω$ be a bounded Reinhardt domain in $\mathbb{C}^n$ and $ϕ_1,\ldots,ϕ_m$ be finite sums of bounded quasi-homogeneous functions. We show that if the product of Toeplitz operators $T_{ϕ_m}\cdots T_{ϕ_1}=0$ on the Bergman space on $Ω$, then $ϕ_j=0$ for some $j$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2009_01951 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Zero products of Toeplitz operators on Reinhardt domains Cuckovic, Zeljko Huo, Zhenghui Sahutoglu, Sonmez Complex Variables 47B35, 32A36 Let $Ω$ be a bounded Reinhardt domain in $\mathbb{C}^n$ and $ϕ_1,\ldots,ϕ_m$ be finite sums of bounded quasi-homogeneous functions. We show that if the product of Toeplitz operators $T_{ϕ_m}\cdots T_{ϕ_1}=0$ on the Bergman space on $Ω$, then $ϕ_j=0$ for some $j$. |
| title | Zero products of Toeplitz operators on Reinhardt domains |
| topic | Complex Variables 47B35, 32A36 |
| url | https://arxiv.org/abs/2009.01951 |