Products of composition, multiplication and radial derivative operators from logarithmic Bloch spaces to weighted-type spaces on the unit ball

被引：46

作者：

Liu, Yongmin ^{[1
]}

Yu, Yanyan ^{[2
]}

机构：

[1] Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Peoples R China

[2] Xuzhou Inst Technol, Sch Math & Phys Sci, Xuzhou 221000, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 423卷 / 01期

关键词：

Logarithmic Bloch space; Weighted-type spaces; Multiplication operator; Composition operator; Radial derivative operator; GENERALIZED COMPOSITION OPERATORS; MIXED-NORM SPACE; BANACH-SPACES; H-INFINITY; DIFFERENTIATION; MULTIPLIERS; BERGMAN;

D O I：

10.1016/j.jmaa.2014.09.069

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let H(B) denote the space of all holomorphic functions on the unit ball R. of en, psi is an element of H(B) and phi be a holomorphic self-map of B. Let C-phi, M-phi and R denote the composition, multiplication and radial derivative operators, respectively. In this paper, we characterize the boundedness and compactness of linear operators induced by products of these operators from logarithmic Bloch spaces to weighted-type spaces on the unit ball. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：76 / 93

页数：18

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