Weighted multiple interpolation and the control of perturbed semigroup systems

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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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Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Mathematics

Keywords

  • Interpolation, Carleson measure, Controllability, Observability, Admissibility, Semigroup system, Riesz basis, Diagonal system, Perturbation
Original languageEnglish
Pages (from-to)395-410
JournalJournal of Evolution Equations
Volume13
Issue number2
Publication statusPublished - 2013
Publication categoryResearch
Peer-reviewedYes