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arXiv · 2107.13688

Products of Toeplitz and Hankel Operators on Fock-Sobolev Spaces

Yiyuan Zhang·Guangfu Cao·Li He
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Abstract

In this paper, we investigate the boundedness of Toeplitz product $T_{f}T_{g}$ and Hankel product $H_{f}^{*} H_{g}$ on Fock-Sobolev space for two polynomials $f$ and $g$ in $z,\overline{z}\in\mathbb{C}^{n}$. As a result, the boundedness of Toeplitz operator $T_{f}$ and Hankel operator $H_{f}$ with the polynomial symbol $f$ in $z,\overline{z}\in\mathbb{C}^{n}$ is characterized.

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BibTeXRIS

Yiyuan Zhang, Guangfu Cao, Li He. 2021-07-29. Products of Toeplitz and Hankel Operators on Fock-Sobolev Spaces. https://arxiv.org/abs/2107.13688

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