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
相关论文
共 50 条
  • [1] INVARIANT SUBSPACES OF PARABOLIC SELF-MAPS IN THE HARDY SPACE
    Montes-Rodriguez, Alfonso
    Ponce-Escudero, Manuel
    Shkarin, Stanislav A.
    MATHEMATICAL RESEARCH LETTERS, 2010, 17 (01) : 99 - 107
  • [2] Invariant Subspaces of the Dirichlet Space
    El-Fallah, Omar
    Kellay, Karim
    Ransford, Thomas
    HILBERT SPACES OF ANALYTIC FUNCTIONS, 2010, 51 : 133 - +
  • [3] Hankel operators and invariant subspaces of the Dirichlet space
    Luo, Shuaibing
    Richter, Stefan
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2015, 91 : 423 - 438
  • [4] On unitary equivalence of invariant subspaces of the Dirichlet space
    Guo, Kunyu
    Zhao, Liankuo
    STUDIA MATHEMATICA, 2010, 196 (02) : 143 - 150
  • [5] Invariant subspaces of the Dirichlet space and commutative algebra
    Fang, X
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2004, 569 : 189 - 211
  • [6] Invariant Measures for Univalent Self-Maps of the Unit Disc
    Hornor, William E.
    COMPLEX ANALYSIS AND OPERATOR THEORY, 2007, 1 (04) : 549 - 569
  • [7] Invariant Measures for Univalent Self-Maps of the Unit Disc
    William E. Hornor
    Complex Analysis and Operator Theory, 2007, 1 : 549 - 569
  • [8] Completely invariant domains of holomorphic self-maps on C
    Beijing Inst of Technology, Beijing, China
    Qiangjiguang Yu Lizishu, 4 (187-191):
  • [9] Chaos among self-maps of the Cantor space
    D'Aniello, Emma
    Darji, Udayan B.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 381 (02) : 781 - 788
  • [10] A characterization of self-maps of a metric measure space
    Kinnunen, Juha
    Korte, Riikka
    Marola, Niko
    Shanmugalingam, Nageswari
    COLLECTANEA MATHEMATICA, 2015, 66 (03) : 405 - 421
12345