In this paper, we define the localization operator associated with the Riemann–Liouville operator, and show that it is not only bounded, but it is also in the Schatten–von Neumann class. We also give a trace formula when the symbol function is nonnegative.

中文翻译：

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与Gabor–Riemann–Liouville算子相关的Schatten–von Neumann类

在本文中，我们定义了与Riemann–Liouville算子关联的本地化算子，并表明它不仅有界，而且在Schatten–von Neumann类中。当符号函数为非负数时，我们还会给出一个跟踪公式。