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

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