Interpolating sequences in mean
type: Item
instance of: scholarly article
title: Interpolating sequences in mean
zbMATH Open document ID: 1417.30027
author: Francesc Tugores
published in: Indagationes Mathematicae. New Series
publication date: 2018-09-20T00:00:00Z
review text: The author considers interpolation problems in the space of bounded analytic functions in the disk as well as in spaces of analytic Hölder functions. Given a target sequence $\{w_n\}_{n\ge1}$ and a sequence of points $\{z_n\}_{n\ge1}$ in the unit disc, the author searches for functions $f$ in the given class that satisfy the equalities \[ \frac{f(z_1)+\cdots+f(z_n)}{n}=w_n,\quad n\ge1. \] He describes target spaces when the corresponding interpolating sequences are uniformly separated or the union of two uniformly separated sequences.
reviewed by: Vladimir V. Peller
Mathematics Subject Classification ID: 30E05
Mathematics Subject Classification ID: 30H05
Mathematics Subject Classification ID: 30H10
Mathematics Subject Classification ID: 26A16
zbMATH DE Number: 6939366
zbMATH Keywords: interpolating sequence
zbMATH Keywords: uniformly separated sequence
zbMATH Keywords: bounded holomorphic functions
zbMATH Keywords: Hölder classes
MaRDI profile type: Publication
full work available at URL: j.indag.2018.06.002
OpenAlex ID: W2810228814
cites work: A note on interpolation in the Hardy spaces of the unit disc
cites work: An Interpolation Problem for Bounded Analytic Functions
cites work: Q5618011
cites work: Finite unions of interpolation sequences
cites work: FREE INTERPOLATION SETS FOR HÖLDER CLASSES
cites work: Q4095316
cites work: Interpolating sequences for functions satisfying a Lipschitz condition
cites work: On Some Interpolation Problems for Analytic Functions
cites work: Values of BMOA functions of interpolating sequences
cites work: Nontangential Interpolating Sequences and Interpolation by Normal Functions
cites work: Q3334365
Wikidata QID: Q129646884
DOI: 10.1016/J.INDAG.2018.06.002
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description: scientific article; zbMATH DE number 6939366