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| 摘要: |
| 本文研究了单位圆盘D上的μ-Bergman空间到Zygmund型空间的加权复合算子的有界性和紧性问题.利用泛函分析多复变的方法，获得了单位圆盘上μ-Bergman空间到Zygmund型空间的加权复合算子为有界算子和紧算子的充要条件. |
| 关键词: μ-Bergman空间 Zygmund型空间 加权复合算子 有界性 紧性 |
| DOI： |
| 分类号:O174.56;O177.2 |
| 基金项目:湖南省自然科学基金资助（2019JJ40089）；湖南科技学院应用特色学科建设项目资助. |
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| WEIGHTED COMPOSITION OPERATOR FROM μ-BERGMAN SPACES TO ZYGMUND TYPE SPACES |
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ZHAO Yan-hui,LIAO Chun-yan,TANG Ya-lin
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| Abstract: |
| Boundedness and compactness of weighted composition operators from μ-Bergman space to Zygmund type spaces were studied in this paper. By the methods of functional analysis and several complex variables, the necessary and sufficient conditions are given for weighted composition operator to be bounded and compact from μ-Bergman space to Zygmund type spaces in the disk. |
| Key words: μ-Bergman space Zygmund type spaces Weighted composition operator Bounded Compact |
