Interpolating sequences for weighted spaces of analytic functions on the unit ball of a Hilbert space

被引：0
|
作者：
Oscar Blasco
Pablo Galindo
Mikael Lindström
Alejandro Miralles
机构：
[1] Universidad de Valencia,Departamento de Análisis Matemático
[2] Abo Akademi University,Department of Mathematics
[3] Universitat Jaume I de Castelló (UJI),Departament de Matemàtiques and Instituto Universitario de Matemáticas y Aplicaciones de Castellón (IMAC)
来源：
Revista Matemática Complutense | 2019年 / 32卷
关键词：
Interpolating sequence; Hyperbolically separated; Bloch function in the ball; Infinite dimensional holomorphy; Weighted space of analytic functions; Primary 30D45; 46E50; Secondary 46G20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We show that an interpolating sequence for the weighted Banach space of analytic functions on the unit ball of a Hilbert space is hyperbolically separated. In the case of the so-called standard weights, a sufficient condition for a sequence to be linear interpolating is given in terms of Carleson type measures. Other conditions to be linearly interpolating are provided as well. Our results apply to the space of Bloch functions of such unit ball.
引用
收藏
页码：115 / 139
页数：24
相关论文
共 50 条
  • [1] Interpolating sequences for weighted spaces of analytic functions on the unit ball of a Hilbert space
    Blasco, Oscar
    Galindo, Pablo
    Lindstrom, Mikael
    Miralles, Alejandro
    REVISTA MATEMATICA COMPLUTENSE, 2019, 32 (01): : 115 - 139
  • [2] Interpolating sequences for weighted Bergman spaces of the ball
    Jevtic, M
    Massaneda, X
    Thomas, PJ
    MICHIGAN MATHEMATICAL JOURNAL, 1996, 43 (03) : 495 - 517
  • [3] UNIVERSAL INTERPOLATING SEQUENCES ON SPACES OF ANALYTIC FUNCTIONS
    B.Yousefi
    Acta Mathematica Scientia, 2011, 31 (01) : 68 - 72
  • [4] UNIVERSAL INTERPOLATING SEQUENCES ON SPACES OF ANALYTIC FUNCTIONS
    Yousefi, B.
    ACTA MATHEMATICA SCIENTIA, 2011, 31 (01) : 68 - 72
  • [5] CARLESON INTERPOLATING SEQUENCES FOR BANACH SPACES OF ANALYTIC FUNCTIONS
    Lindstrom, Mikael
    Mastylo, Mieczyslaw
    Mleczko, Pawel
    Norrbo, David
    Rzeczkowski, Michal
    JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU, 2022, 21 (06) : 1915 - 1945
  • [6] A theorem of Beurling-Lax type for Hilbert spaces of functions analytic in the unit ball
    Alpay, D
    Dijksma, A
    Rovnyak, J
    INTEGRAL EQUATIONS AND OPERATOR THEORY, 2003, 47 (03) : 251 - 274
  • [7] A Theorem of Beurling-sLax Type for Hilbert Spaces of Functions Analytic in the Unit Ball
    D. Alpay
    A. Dijksma
    J. Rovnyak
    Integral Equations and Operator Theory, 2003, 47 : 251 - 274
  • [8] Random Weighted Shifts on Hilbert Spaces of Analytic Functions
    Liu, Ting
    Zhu, Sen
    INTEGRAL EQUATIONS AND OPERATOR THEORY, 2022, 94 (01)
  • [9] Random Weighted Shifts on Hilbert Spaces of Analytic Functions
    Ting Liu
    Sen Zhu
    Integral Equations and Operator Theory, 2022, 94
  • [10] Bloch Type Spaces on the Unit Ball of a Hilbert Space
    Zhenghua Xu
    Czechoslovak Mathematical Journal, 2019, 69 : 695 - 711
12345