Estimates of essential norms of weighted composition operators between Bloch-type spaces

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• 作者：Olli Hyvä ; rinen ^{ollihyva@paju.oulu.fi} ; Mikael Lindströ ; m ; ^{mikael.lindstrom@oulu.fi}
• 关键词：Essential norm ; Bloch-type spaces ; Weighted composition operator
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2012
• 期刊代码：76_0022247x
• 类别：mt
• 出版时间：1 September, 2012
• 卷：393
• 期：1
• 页码：38-44
• 文件大小：218 K

摘要

We estimate the essential norm of weighted composition operators acting on Bloch-type spaces聽 in terms of the analytic function and the -th power of the analytic selfmap聽 of the open unit disc聽. We obtain new characterizations for boundedness and compactness of for all , thus answering an open problem of Manhas and Zhao concerning the case .