We study Toeplitz operators on the Bargmann space, with Toeplitz symbols that are exponentials of inhomogeneous quadratic polynomials. It is shown that the boundedness of such operators is implied by the boundedness of the corresponding Weyl symbols.

中文翻译：

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外尔符号和托普利兹算子的有界性

我们研究巴格曼空间上的托普利兹算子，托普利兹符号是非齐次二次多项式的指数。结果表明，这些算子的有界性由相应的 Weyl 符号的有界性隐含。