PRODUCTS OF MULTIPLICATION, COMPOSITION AND DIFFERENTIATION OPERATORS FROM MIXED-NORM SPACES TO WEIGHTED-TYPE SPACES

被引：18
|
作者：
Zhang, Fang [1 ]
Liu, Yongmin [2 ]
机构：
[1] Changzhou Univ, Dept Appl Math, Changzhou 213164, Peoples R China
[2] Jiangsu Normal Univ, Dept Math, Xuzhou 221116, Peoples R China
来源：
TAIWANESE JOURNAL OF MATHEMATICS | 2014年 / 18卷 / 06期
关键词：
Multiplication operator; Differentiation operator; Composition operator; Mixed-norm space; Weighted-type space; H-INFINITY; BERGMAN SPACES; BLOCH SPACES;
D O I：
10.11650/tjm.18.2014.4311
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let phi be an analytic self-map of the unit disk D, H (D) the space of analytic functions on D and psi(1),psi(2) is an element of H (D). Recently Stevic and co-workers efined the following operator T(psi 1,psi 2,phi)f(z) = psi(1)( z)f(phi(z)) + psi(2)(z) f'(phi(z)), f is an element of H (D). The boundedness and compactness of the operators T-psi 1,T-psi 2,T-phi from mixed-norm spaces to weighted-type spaces are investigated in this paper.
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页码：1927 / 1940
页数：14
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