Abstract In this work, the boundedness and essential norm of weighted composition operators from the Zygmund space to nth weighted-type spaces are characterized. As a corollary, some characterizations for the compactness of weighted composition operators from the Zygmund space to nth weighted-type spaces are also presented.

中文翻译：

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从 Zygmund 空间到第 n 个加权类型空间的加权组合算子

摘要 在这项工作中，表征了从齐格蒙德空间到第 n 个加权类型空间的加权合成算子的有界性和本质范数。作为推论，还介绍了从 Zygmund 空间到第 n 个加权类型空间的加权合成算子的紧致性的一些特征。