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Thin sequences and their role in H-p theory, model spaces, and uniform algebras

Gorkin, Pamela; Pott, Sandra LU and Wick, Brett D. (2015) In Revista Matemática Iberoamericana 31(3). p.841-864
Abstract
In this paper we revisit some facts about thin interpolating sequences in the unit disc from three perspectives: uniform algebras, model spaces, and H-p spaces. We extend the notion of asymptotic interpolation to H-p spaces, for 1 <= p <= infinity, providing several new ways to think about these sequences.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
interpolation, asymptotic orthonormal, sequence, thin sequences, Hardy space
in
Revista Matemática Iberoamericana
volume
31
issue
3
pages
841 - 864
publisher
EMS Publishing House
external identifiers
  • wos:000365244300005
  • scopus:84946552563
ISSN
2235-0616
DOI
10.4171/RMI/856
language
English
LU publication?
yes
id
24e31d39-b1e1-4b19-9fcc-96b45a022799 (old id 8377429)
date added to LUP
2015-12-17 14:17:39
date last changed
2017-01-01 05:59:31
@article{24e31d39-b1e1-4b19-9fcc-96b45a022799,
  abstract     = {In this paper we revisit some facts about thin interpolating sequences in the unit disc from three perspectives: uniform algebras, model spaces, and H-p spaces. We extend the notion of asymptotic interpolation to H-p spaces, for 1 &lt;= p &lt;= infinity, providing several new ways to think about these sequences.},
  author       = {Gorkin, Pamela and Pott, Sandra and Wick, Brett D.},
  issn         = {2235-0616},
  keyword      = {interpolation,asymptotic orthonormal,sequence,thin sequences,Hardy space},
  language     = {eng},
  number       = {3},
  pages        = {841--864},
  publisher    = {EMS Publishing House},
  series       = {Revista Matemática Iberoamericana},
  title        = {Thin sequences and their role in H-p theory, model spaces, and uniform algebras},
  url          = {http://dx.doi.org/10.4171/RMI/856},
  volume       = {31},
  year         = {2015},
}