Products of Volterra type operator and composition operator from H∞ and Bloch spaces to Zygmund spaces

被引:207
作者
Li, Songxiao [2 ]
Stevic, Stevo [1 ]
机构
[1] Serbian Acad Sci, Math Inst, Belgrade 11000, Serbia
[2] JiaYing Univ, Dept Math, Meizhou 514015, Guangdong, Peoples R China
关键词
Volterra operator; composition operator; Zygmund space; Bloch space; bounded analytic functions;
D O I
10.1016/j.jmaa.2008.03.063
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The boundedness and compactness of the products of Volterra type operators and composition operators from the space of bounded analytic functions and the Bloch space to the Zygmund space are discussed in this paper. (C) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码:40 / 52
页数:13
相关论文
共 20 条
[1]   A note on weighted Bergman spaces and the Cesaro operator [J].
Benke, G ;
Chang, DC .
NAGOYA MATHEMATICAL JOURNAL, 2000, 159 :25-43
[2]  
Chang DC, 2003, TAIWAN J MATH, V7, P423
[3]   On some integral operators on the unit polydisk and the unit ball [J].
Chang, Der-Chen ;
Li, Songxiao ;
Stevic, Stevo .
TAIWANESE JOURNAL OF MATHEMATICS, 2007, 11 (05) :1251-1285
[4]  
Cowen C., 1995, Composition operators on spaces of analytic functions
[5]  
Dunford N., 1958, LINEAR OPERATORS, VI
[6]  
DUREN P. L., 1970, Theory of Spaces
[7]   Extended Cesaro operators on Bergman spaces [J].
Hu, ZJ .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 296 (02) :435-454
[8]   Extended Cesaro operators on mixed norm spaces [J].
Hu, ZJ .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 131 (07) :2171-2179
[9]   Extended Cesaro operators on the Bloch space in the unit ball of Cn [J].
Hu, ZJ .
ACTA MATHEMATICA SCIENTIA, 2003, 23 (04) :561-566
[10]  
Li S., 2007, Complex Var. Elliptic Equ., V52, P495