We consider dual Toeplitz operators acting on the orthogonal complements of the Fock spaces over the higher dimensional complex space. We then consider operators which are finite sums of products of two dual Toeplitz operators and study the problems of when such an operator is compact and zero respectively.

中文翻译：

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Fock空间正交补上的对偶Toeplitz乘积的和

我们考虑对高维复空间上Fock空间的正交互补作用的对偶Toeplitz算子。然后，我们考虑算子，它是两个对偶Toeplitz算子的乘积之和，并研究何时该算子是紧型和零的问题。