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

被引：8

作者：

Blasco, Oscar ^{[1
]}

Galindo, Pablo ^{[1
]}

Lindstrom, Mikael ^{[2
]}

Miralles, Alejandro ^{[3
,4
]}

机构：

[1] Univ Valencia, Dept Anal Matemat, Valencia, Spain

[2] Abo Akad Univ, Dept Math, Turku, Finland

[3] Univ Jaume I Castello UJI, Dept Matemat, Castellon de La Plana, Spain

[4] Univ Jaume I Castello UJI, Inst Univ Matemat & Aplicac Castellon IMAC, Castellon de La Plana, Spain

来源：

REVISTA MATEMATICA COMPLUTENSE | 2019年 / 32卷 / 01期

基金：

芬兰科学院;

关键词：

Interpolating sequence; Hyperbolically separated; Bloch function in the ball; Infinite dimensional holomorphy; Weighted space of analytic functions; COMPOSITION OPERATORS; BLOCH FUNCTIONS; DERIVATIVES;

D O I：

10.1007/s13163-018-0271-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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

页码：115 / 139

页数：25

共 50 条

[31] Cyclicity of the adjoint of weighted composition operators on the hilbert space of analytic functions
Zahra Kamali
Bahram Khani Robati
Karim Hedayatian
Czechoslovak Mathematical Journal, 2011, 61 : 551 - 563
[32] On interpolating varieties for weighted spaces of entire functions
Andreas Hartmann
Xavier Massaneda
The Journal of Geometric Analysis, 2000, 10 (4): : 683 - 696
[33] Co-Isometric Weighted Composition Operators on Hilbert Spaces of Analytic Functions
María J. Martín
Alejandro Mas
Dragan Vukotić
Results in Mathematics, 2020, 75
[34] Co-Isometric Weighted Composition Operators on Hilbert Spaces of Analytic Functions
Martin, Maria J.
Mas, Alejandro
Vukotic, Dragan
RESULTS IN MATHEMATICS, 2020, 75 (03)
[35] Complex symmetric generalized weighted composition operators on Hilbert spaces of analytic functions
Lo, Ching -on
Loh, Anthony Wai-keung
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 523 (02)
[36] Translation invariant subspaces of some quasi-analytic weighted Hilbert spaces of sequences
Esterle, J
Volberg, A
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1998, 326 (03): : 295 - 300
[37] Hilbert Spaces of tensor-valued holomorphic functions on the unit ball of Cn
Hwang, S
Liu, Y
Zhang, GK
PACIFIC JOURNAL OF MATHEMATICS, 2004, 214 (02) : 303 - 322
[38] Asymptotically holomorphic functions and translation invariant subspaces of weighted Hilbert spaces of sequences
Esterle, J
Volberg, A
ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 2002, 35 (02): : 185 - 230
[39] Bounded below composition operators on the space of Bloch functions on the unit ball of a Hilbert space
Alejandro Miralles
Banach Journal of Mathematical Analysis, 2023, 17
[40] WEIGHTED COMPOSITION OPERATORS ACTING BETWEEN WEIGHTED BERGMAN SPACES AND WEIGHTED BANACH SPACES OF HOLOMORPHIC FUNCTIONS ON THE UNIT BALL
Wolf, Elke
MATEMATICKI VESNIK, 2010, 62 (03): : 227 - 234

← 1 2 3 4 5 →