Weighted differentiation composition operator from logarithmic Bloch spaces to Bloch-type spaces

详细信息    查看全文

• 作者：Yu-Xia Liang and Ze-Hua Zhou
• 刊名：Mathematische Nachrichten
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：290
• 期：2-3
• 页码：349-366
• 全文大小：263K
• ISSN：1522-2616

文摘

In this paper, we give a new characterization for the boundedness of weighted differentiation composition operator from logarithmic Bloch spaces to Bloch-type spaces and calculate its essential norm in terms of the n-th power of induced analytic self-map on the unit disk. From which a sufficient and necessary condition of compactness of this operator follows immediately.