Composition operators on Besov and Dirichlet type spaces of the ball

被引：0
|
作者：
Pons, Matthew A. [1 ]
机构：
[1] North Cent Coll, Dept Math, 30 N Brainard St, Naperville, IL 60540 USA
来源：
ACTA SCIENTIARUM MATHEMATICARUM | 2011年 / 77卷 / 3-4期
关键词：
composition operator; Dirichlet space; Besov space; spectrum; complex interpolation;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Various operator theoretic properties of composition operators with linear fractional symbol acting on the Dirichlet space of the unit ball are discussed. Furthermore, we use Calderon's complex interpolation to investigate the spectrum of composition operators with automorphic symbol acting on the analytic Besov spaces of the ball and on the weighted Dirichlet spaces of the ball, which include the Dirichlet, Arveson, Hardy and Bergman spaces.
引用
收藏
页码：525 / 550
页数：26
相关论文
共 50 条
12345