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| 摘要: |
| 本文研究了单位球上加权Bergman空间到Zygmund型空间上的积分型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Pϕg为有界算子和紧算子的充要条件.同时分别得到了单位圆盘D上和ϕ（z）=z时单位球上的相应结论. |
| 关键词: 加权Bergman空间 Zygmund型空间 积分型算子 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项目资助（2019JJ40089）；湖南科技学院应用特设学科建设项目资助. |
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| AN INTEGRAL-TYPE OPERATORS FROM WEIGHTED BERGMAN SPACE TO ZYGMUND TYPE SPACES ON THE UNIT BALL |
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ZHAO Yan-hui,LIAO Chun-yan,DENG Chun-hong
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| Abstract: |
| Some questions of integral-type operator were studied on Zygmund type spaces on the unit ball. By the methods of functional analysis and several complex variables, the necessary and sufficient conditions are given for integral-type operator to be bounded and compact on Zygmund type spaces on the unit ball. At the same time, the corresponding conclusions are obtained on the disk D and ϕ(z)=z, respectively. |
| Key words: weighted Bergman space Zygmund type space integral-type operator boundedness compactness |
