New estimate of essential norm of composition followed by differentiation between Bloch-type spaces
New estimate of essential norm of composition followed by differentiation between Bloch-type spaces
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DOI：
10.15352/bjma/1381782092
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发表时间：
2014
影响因子：
1.2
通讯作者：
Yu-Xia Liang;Ze‐hua Zhou
中科院分区：
文献类型：
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作者：
Yu-Xia Liang;Ze‐hua Zhou
给出了Bloch型空间上合成算子和微分算子有界性的一个新刻划，并利用单位圆盘上诱导解析自映射的n次方计算了它的本质范数.由此引出算子紧性的一些充要条件。
We give a new characterization for the boundedness of composi- tion operator followed by dierentiation operator acting on Bloch-type spaces and calculate its essential norm in terms of the n-th power of the induced an- alytic self-map on the unit disk. From which some sucient and necessary conditions of compactness of the operator follow immediately.