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浙江大学学报（理学版）
浙江大学学报（理学版）  2016, Vol. 43 Issue (4): 389-393    DOI: 10.3785/j.issn.1008-9497.2016.04.002
数学与计算机科学     
单位球上μ-Bloch空间到Zygmund型空间的加权Cesàro算子
赵艳辉
湖南科技学院 理学院, 湖南 永州 425199
Extended Cesàro operators from μ-Bloch spaces to Zygmund type spaces in the unit ball
ZHAO Yanhui
College of Science, Hunan University of Science and Engineering, Yongzhou 425199, Hunan Province, China
 全文: PDF(272 KB)  
摘要： 设α>0，g是单位球B上的全纯函数，μ(r)是［0，1）上的正规权函数，利用泛函分析多复变的方法，讨论了单位球上μ-Bloch空间到Zygmund型空间的加权Cesàro算子Tg的有界性和紧性问题.并给出了单位球上μ-Bloch空间到Zygmund型空间的加权Cesàro算子Tg为有界算子和紧算子的充要条件.
关键词： μ  -Bloch型空间;  Zygmund型空间;  加权Cesà;  ro算子;  有界性;  紧性    
Abstract: Supposing that α>0, let g be holomorphic functions in the unit ball B and μ(r) be a normal function on ［0, 1). Some questions of extended Cesàro operators are studied from μ-Bloch spaces to Zygmund type spaces in the unit ball. By the methods of functional analysis and several complex variables, the necessary and sufficient conditions are given for extended Cesàro operators Tg to be bounded and compact from μ-Bloch spaces to Zygmund type spaces.
Key words: μ-Bloch spaces    Zygmund type spaces    extended Cesà    ro operator    boundedness    compactness
收稿日期: 2015-07-13 出版日期: 2016-04-28
CLC:  O174.56  
作者简介: ZHAOYanhui(1969-),ORCID:http://orcid.org/0000-0002-8076-9105,female,master,vice-professor,thefieldofinterestisthetheoryoffunctions,E-mail:tang09zhao@163.com.
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引用本文:

赵艳辉. 单位球上μ-Bloch空间到Zygmund型空间的加权Cesàro算子[J]. 浙江大学学报（理学版）, 2016, 43(4): 389-393.

ZHAO Yanhui. Extended Cesàro operators from μ-Bloch spaces to Zygmund type spaces in the unit ball. Journal of Zhejiang University (Science Edition), 2016, 43(4): 389-393.

链接本文:

https://www.zjujournals.com/sci/CN/10.3785/j.issn.1008-9497.2016.04.002    或    https://www.zjujournals.com/sci/CN/Y2016/V43/I4/389

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