μ-Bergman空间到Zygmund型空间的加权复合算子  

WEIGHTED COMPOSITION OPERATOR FROMμ-BERGMAN SPACES TO ZYGMUND TYPE SPACES

作　　者：赵艳辉 廖春艳 唐亚林 ZHAO Yan-hui;LIAO Chun-yan;TANG Ya-lin(College of Science,Hunan University of Science and Engineering,Yongzhou 425199)

机构地区：[1]湖南科技学院理学院,湖南永州425199

出　　处：《数学杂志》2021年第2期159-169,共11页Journal of Mathematics

基　　金：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。

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.Boundedness and compactness of weighted composition operators fromμ-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 fromμ-Bergman space to Zygmund type spaces in the disk.

关 键 词：μ-Bergman空间 ZYGMUND型空间 加权复合算子 有界性 紧性 

分 类 号：O174.56[理学—数学] O177.2[理学—基础数学]