浙江大学学报(理学版)2016,Vol.43Issue(4):389-393,404,6.DOI:10.3785/j.issn.1008-9497.2016.04.002
单位球上μ-Bloch空间到Zygmund型空间的加权Cesàro算子
Extended Cesàro operators f rom μ-Bloch spaces to Zygmund type spaces in the unit ball
摘要
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 .关键词
μ-Bloch型空间/Zygmund型空间/加权Cesàro算子/有界性/紧性Key words
μ-Bloch spaces/Zygmund type spaces/extended Cesàro operator/boundedness/compactness分类
数理科学引用本文复制引用
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):389-393,404,6.基金项目
Supported by the National Natural Science Foundation of China (11571104). ()