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

Liang Yu-Xia; Zhou Ze-Hua

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

机译：从对数布洛赫空间到布洛赫型空间的加权微分组合算子

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摘要

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. (C) 2016 WILEY-VCH Verlag GmbH Co. KGaA, Weinheim

机译：本文对加权微分组合算子从对数布洛赫空间到布洛赫型空间的有界性进行了新的表征，并根据单位圆盘上诱导解析自映射的n次方计算了其基本范数。从中立即出现该操作员紧凑性的充分和必要条件。（C） 2016 WILEY-VCH Verlag GmbH & Co. KGaA， Weinheim

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来源
《Mathematische Nachrichten》 |2017年第3期|349-366|共18页
作者
Liang Yu-Xia; Zhou Ze-Hua;
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作者单位

Tianjin Normal Univ, Sch Math Sci, Tianjin 300387, Peoples R China;

Tianjin Univ, Dept Math, Tianjin 300072, Peoples R China;

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原文格式 PDF
正文语种英语
中图分类数学;
关键词
Weighted differentiation composition operator; log-Bloch space; boundedness; essential norm;

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

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