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

页码：4115 / 4120

页数：6

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