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Weighted multiple interpolation and the control of perturbed semigroup systems

Jacob, Birgit ; Partington, Jonathan R. and Pott, Sandra LU (2013) In Journal of Evolution Equations 13(2). p.395-410
Abstract
In this paper, the controllability and admissibility of perturbed semigroup systems are studied, using tools from the theory of interpolation and Carleson measures. In addition, there are new results on the perturbation of Carleson measures and on the weighted interpolation of functions and their derivatives in Hardy spaces, which are of interest in their own right.
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author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Interpolation, Carleson measure, Controllability, Observability, Admissibility, Semigroup system, Riesz basis, Diagonal system, Perturbation
in
Journal of Evolution Equations
volume
13
issue
2
pages
395 - 410
publisher
Birkhäuser
external identifiers
  • wos:000319295600007
  • scopus:84882858865
ISSN
1424-3199
DOI
10.1007/s00028-013-0184-4
language
English
LU publication?
yes
id
a81be705-124f-4550-82e7-a5ba7c36409e (old id 3931591)
date added to LUP
2016-04-01 10:23:08
date last changed
2025-04-04 14:13:13
@article{a81be705-124f-4550-82e7-a5ba7c36409e,
  abstract     = {{In this paper, the controllability and admissibility of perturbed semigroup systems are studied, using tools from the theory of interpolation and Carleson measures. In addition, there are new results on the perturbation of Carleson measures and on the weighted interpolation of functions and their derivatives in Hardy spaces, which are of interest in their own right.}},
  author       = {{Jacob, Birgit and Partington, Jonathan R. and Pott, Sandra}},
  issn         = {{1424-3199}},
  keywords     = {{Interpolation; Carleson measure; Controllability; Observability; Admissibility; Semigroup system; Riesz basis; Diagonal system; Perturbation}},
  language     = {{eng}},
  number       = {{2}},
  pages        = {{395--410}},
  publisher    = {{Birkhäuser}},
  series       = {{Journal of Evolution Equations}},
  title        = {{Weighted multiple interpolation and the control of perturbed semigroup systems}},
  url          = {{http://dx.doi.org/10.1007/s00028-013-0184-4}},
  doi          = {{10.1007/s00028-013-0184-4}},
  volume       = {{13}},
  year         = {{2013}},
}