Weighted multiple interpolation and the control of perturbed semigroup systems

Birgit Jacob; Jonathan R. Partington; Sandra Pott

doi:10.1007/s00028-013-0184-4

Weighted multiple interpolation and the control of perturbed semigroup systems

Birgit Jacob, Jonathan R. Partington, Sandra Pott

Mathematics (Faculty of Sciences)

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	395-410
Journal	Journal of Evolution Equations
Volume	13
Issue number	2
DOIs	https://doi.org/10.1007/s00028-013-0184-4
Publication status	Published - 2013

Subject classification (UKÄ)

Mathematical Sciences

Free keywords

Interpolation
Carleson measure
Controllability
Observability
Admissibility
Semigroup system
Riesz basis
Diagonal system
Perturbation

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10.1007/s00028-013-0184-4

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title = "Weighted multiple interpolation and the control of perturbed semigroup systems",

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.",

keywords = "Interpolation, Carleson measure, Controllability, Observability, Admissibility, Semigroup system, Riesz basis, Diagonal system, Perturbation",

author = "Birgit Jacob and Partington, {Jonathan R.} and Sandra Pott",

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T1 - Weighted multiple interpolation and the control of perturbed semigroup systems

AU - Jacob, Birgit

AU - Partington, Jonathan R.

AU - Pott, Sandra

PY - 2013

Y1 - 2013

N2 - 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.

AB - 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.

KW - Interpolation

KW - Carleson measure

KW - Controllability

KW - Observability

KW - Admissibility

KW - Semigroup system

KW - Riesz basis

KW - Diagonal system

KW - Perturbation

U2 - 10.1007/s00028-013-0184-4

DO - 10.1007/s00028-013-0184-4

M3 - Article

SN - 1424-3199

VL - 13

SP - 395

EP - 410

JO - Journal of Evolution Equations

JF - Journal of Evolution Equations

IS - 2

ER -

Weighted multiple interpolation and the control of perturbed semigroup systems

Abstract

Subject classification (UKÄ)

Free keywords

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Cite this