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arXiv · 1212.0045

Products of Toeplitz operators on the Fock space

Hon Rae Cho·Jong-Do Park·Kehe Zhu
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Abstract

Let $f$ and $g$ be functions, not identically zero, in the Fock space $F^2$ of $C_n$. We show that the product $T_fT_{\bar g}$ of Toeplitz operators on $F^2$ is bounded if and only if $f(z)=e^{q(z)}$ and $g(z)=ce^{-q(z)}$, where $c$ is a nonzero constant and $q$ is a linear polynomial.

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Hon Rae Cho, Jong-Do Park, Kehe Zhu. 2012-11-30. Products of Toeplitz operators on the Fock space. https://arxiv.org/abs/1212.0045

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