On Multipliers of Dirichlet Type Spaces

被引：15
|
作者：
Bao, Guanlong [1 ]
Lou, Zengjian [1 ]
Qian, Ruishen [1 ]
Wulan, Hasi [1 ]
机构：
[1] Shantou Univ, Dept Math, Shantou 515063, Guangdong, Peoples R China
来源：
COMPLEX ANALYSIS AND OPERATOR THEORY | 2015年 / 9卷 / 08期
关键词：
Multipliers; Dirichlet type spaces; Interpolating sequences; partial derivative-Equation; Corona theorem; CARLESON MEASURES; ANALYTIC-FUNCTIONS; Q(K); INTERPOLATION; SEQUENCES;
D O I：
10.1007/s11785-015-0444-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let M(D-K) be the class of multipliers of a Dirichlet type space D-K. Under conditions of the weight function K, we first characterize the interpolating sequences for M(D-K). Secondly, we study boundary values space D-K (partial derivative D) and its multiplier spaces M(D-K (partial derivative D)). We give a solution of partial derivative-equation in D-K (partial derivative D). In addition, by a derivative-free characterization of D-K spaces and standard techniques, we establish the partial derivative-equation and corona theorem for M(D-K). Corona type decomposition theorem on M(D-K) is also obtained.
引用
收藏
页码：1701 / 1732
页数：32
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