This paper characterises the boundedness and compactness of Agler–McCarthy monomial operators by reducing them to weighted composition operators and deriving explicit Carleson measure criteria on the half-plane. The results are illustrated by examples.

中文翻译：

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加权复合算子和单项式算子的有界性和紧性

本文通过将 Agler-McCarthy 单项式算子简化为加权复合算子并在半平面上推导显式的 Carleson 测度准则来表征 Agler-McCarthy 单项式算子的有界性和紧致性。结果通过示例进行说明。