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Weighted multiple interpolation and the control of perturbed semigroup systems |
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| Authors: | Birgit Jacob Jonathan R Partington Sandra Pott |
| Institution: | 1. Fachbereich C-Mathematik und Naturwissenschaften, Arbeitsgruppe Funktionalanalysis, Bergische Universit?t Wuppertal, Gau?stra?e 20, 42097, Wuppertal, Germany 2. School of Mathematics, University of Leeds, Leeds, LS2 9JT, UK 3. Faculty of Science, Centre for Mathematical Sciences, Lund University, 22100, Lund, Sweden |
| 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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