Invariant subspaces of parabolic self-maps in the Dirichlet space

被引：1
|
作者：
Montes-Rodriguez, Alfonso [1 ]
Ponce-Escudero, Manuel [1 ]
机构：
[1] Univ Seville, Fac Matemat, Dept Anal Matemat, E-41080 Seville, Spain
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2014年 / 266卷 / 07期
关键词：
Lattice of parabolic; non-automorphisms; Dirichlet spaces; Composition operators; Completely normal operator; FRACTIONAL COMPOSITION OPERATORS;
D O I：
10.1016/j.jfa.2014.02.003
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this note, it is provided a complete description of the lattice of invariant subspaces of a composition operator acting on the Dirichlet space and whose inducing symbol is a parabolic non-automorphism. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：4115 / 4120
页数：6
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