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

被引：10

作者：

Liang, Yu-Xia ^{[1
]}

Zhou, Ze-Hua ^{[2
,3
]}

机构：

[1] Tianjin Normal Univ, Sch Math Sci, Tianjin 300387, Peoples R China

[2] Tianjin Univ, Dept Math, Tianjin 300072, Peoples R China

[3] Tianjin Univ, Ctr Appl Math, Tianjin 300072, Peoples R China

来源：

MATHEMATISCHE NACHRICHTEN | 2017年 / 290卷 / 2-3期

基金：

中国国家自然科学基金;

关键词：

Weighted differentiation composition operator; log-Bloch space; boundedness; essential norm; ESSENTIAL NORMS; ANALYTIC-FUNCTIONS; UNIT BALL; BANACH-SPACES;

D O I：

10.1002/mana.201500172

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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

引用

页码：349 / 366

页数：18

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