Which de Branges-Rovnyak spaces are Dirichlet spaces (and vice versa)?

被引：29
|
作者：
Costara, Constantin [1 ]
Ransford, Thomas [2 ]
机构：
[1] Ovidius Univ Constanta, Fac Math & Informat, Constanta 900527, Romania
[2] Univ Laval, Dept Math & Stat, Quebec City, PQ G1V 0A6, Canada
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2013年 / 265卷 / 12期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Hardy space; de Branges-Rovnyak space; Dirichlet space;
D O I：
10.1016/j.jfa.2013.08.015
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate for which pairs b, mu the de Branges-Rovnyak space H-b is equal to the generalized Dirichlet space D-mu. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码：3204 / 3218
页数：15
相关论文
共 50 条
  • [21] Boundary Behavior of Functions in the de Branges-Rovnyak Spaces
    Fricain, Emmanuel
    Mashreghi, Javad
    COMPLEX ANALYSIS AND OPERATOR THEORY, 2008, 2 (01) : 87 - 97
  • [22] Density of diskalgebra functions in de Branges-Rovnyak spaces
    Aleman, Alexandru
    Malman, Bartosz
    COMPTES RENDUS MATHEMATIQUE, 2017, 355 (08) : 871 - 875
  • [23] Dirichlet Spaces with Superharmonic Weights and de Branges–Rovnyak Spaces
    O. El-Fallah
    K. Kellay
    H. Klaja
    J. Mashreghi
    T. Ransford
    Complex Analysis and Operator Theory, 2016, 10 : 97 - 107
  • [24] Interpolating and uniqueness sequences for de Branges-Rovnyak spaces
    Lo, Ching-on
    Loh, Anthony Wai-keung
    RICERCHE DI MATEMATICA, 2023, 72 (01) : 33 - 44
  • [25] Outer Functions and Divergence in de Branges-Rovnyak Spaces
    Mashreghi, Javad
    Ransford, Thomas
    COMPLEX ANALYSIS AND OPERATOR THEORY, 2018, 12 (04) : 987 - 995
  • [26] Two-Isometries and de Branges-Rovnyak Spaces
    Kellay, Karim
    Zarrabi, Mohamed
    COMPLEX ANALYSIS AND OPERATOR THEORY, 2015, 9 (06) : 1325 - 1335
  • [27] Clark measures and de Branges-Rovnyak spaces in several variables
    Aleksandrov, Aleksei B.
    Doubtsov, Evgueni
    COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2023, 68 (02) : 212 - 221
  • [28] Which de Branges-Rovnyak spaces have complete Nevanlinna-Pick property?
    Chu, Cheng
    JOURNAL OF FUNCTIONAL ANALYSIS, 2020, 279 (06)
  • [29] Mixed de Branges-Rovnyak and sub-Bergman spaces
    Gu, Caixing
    Hwang, In Sung
    Lee, Woo Young
    Park, Jaehui
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2024, 697 : 443 - 467
  • [30] Multipliers of de Branges-Rovnyak spaces in H-2
    Suarez, Fernando Daniel
    REVISTA MATEMATICA IBEROAMERICANA, 1995, 11 (02) : 375 - 415
12345