In this paper, we are interested in operators arising from the product of a weighted composition operator and a maximal differential operator on the Fock space. Let $T_{max}$ and $C_{u,\phi }$ denote a maximal differential operator and a weighted composition operator, respectively. We characterize some $\mathcal{C}$-selfadjoint operators $C_{u,\phi }{T}_{max}$ with respect to special conjugations $\mathcal{C}$. Moreover, we obtain a partial characterization of hermitian operator $C_{\phi }{T}_{max}$.

中文翻译：

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- Fock 空间上组合算子和最大微分算子的自伴积

在本文中，我们对 Fock 空间上的加权复合算子和最大微分算子的乘积产生的算子感兴趣。让${吨}_{最大限度}$和$C_{你,\phi }$分别表示最大微分算子和加权合成算子。我们描述了一些$\mathcal{C}$-selfadjoint 运算符$C_{你,\phi }{吨}_{最大限度}$关于特殊词缀$\mathcal{C}$. 此外，我们获得了厄米算子的部分表征$C_{\phi }{吨}_{最大限度}$.