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arXiv · 2410.00791

Toeplitz operators on the $n$-dimensional Hartogs triangle

Shubham Jain·paramita pramanick
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Abstract

We formally introduce and study Toeplitz operators on the Hardy space of the $n$-dimensional Hartogs triangle. We find a precise relation between these operators and the Toeplitz operators on the Hardy space of the unit polydisc $\mathbb D^n.$ As an application, we deduce several properties of these operators from their polydisc counterparts. Furthermore, we show that certain results achieved for the Toeplitz operators on the $n$-dimensional Hartogs triangle are not the same as those in the polydisc case.

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Shubham Jain, paramita pramanick. 2024-10-01. Toeplitz operators on the $n$-dimensional Hartogs triangle. https://arxiv.org/abs/2410.00791

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