In this article, we study some characterizations of Toeplitz operators with positive operator-valued function as symbols on the vector-valued generalized Bargmann-Fock spaces \(F_\varphi^2\). Main results including Fock-Carleson condition, bounded Toeplitz operators, compact Toeplitz operators, and Toeplitz operators in the Schatten-p class are all considered.

中文翻译：

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向量值广义Fock空间上具有正算子值符号的Toeplitz算子

在本文中，我们研究矢量值广义Bargmann-Fock空间\（F_ \ varphi ^ 2 \）上具有正算子值函数作为符号的Toeplitz算子的一些刻画。在Schatten-主要成果包括福克-卡尔松条件，有界Toeplitz算子，紧算子和Toeplitz算子p类都被认为。