Abstract

We provide sufficient conditions for Toeplitz operators with distributional symbols acting on the Bergman space on the unit disk to be trace class. The Berezin transform of distributions, introduced in the paper, yields a formula for the trace. Several instructive examples are also given.

中文翻译：

---

具有奇异符号的跟踪类Toeplitz运算符

摘要

我们为Toeplitz运算符提供了充分的条件，其中分布符号作用在单位磁盘上的Bergman空间上是跟踪类。本文介绍的Berezin分布变换可得出迹线的公式。还提供了一些说明性示例。