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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Vydáno v:Zhejiang da xue xue bao. Journal of Zhejiang University. Sciences edition. Li xue ban Ročník 43; číslo 4; s. 389 - 404
Hlavní autor: 赵艳辉
Médium: Journal Article
Jazyk:čínština
Vydáno: 湖南科技学院理学院,湖南永州,425199 01.07.2016
Zhejiang University Press
Témata:
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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Popis
Shrnutí: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