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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.
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author
; and
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
2016-04-01 13:59:15
date last changed
2022-01-27 22:11:35
@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}},
  keywords     = {{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}},
  doi          = {{10.4171/RMI/856}},
  volume       = {{31}},
  year         = {{2015}},
}