单位球上μ-Bloch空间到Zygmund型空间的加权Cesàro算子

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...

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Bibliographic Details
Published in:Zhejiang da xue xue bao. Journal of Zhejiang University. Sciences edition. Li xue ban Vol. 43; no. 4; pp. 389 - 404
Main Author: 赵艳辉
Format: Journal Article
Language:Chinese
Published: 湖南科技学院理学院,湖南永州,425199 01.07.2016
Zhejiang University Press
Subjects:
boundedness
compactness
extended cesàro operator
zygmund type spaces
µ-bloch spaces
μ-Bloch型空间
有界性
μ-Bloch spaces
加权Cesàro算子
compactness
Zygmund type spaces
Zygmund型空间
extended Cesàro operator
boundedness
紧性
ISSN:1008-9497
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Summary: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.
ISSN:1008-9497
DOI:10.3785/j.issn.1008-9497.2016.04.002