A direct approach to the weighted admissibility of observation operators for bounded analytic semigroups |
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Authors: | H Bounit A Driouich O El-Mennaoui |
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Institution: | 1.Département de Mathématiques, Faculté des Sciences,Université Ibn Zohr,Agadir,Morocco |
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Abstract: | In this note we adopt the approach in Bonnit et al. (Czechoslov. Math. J. 60(2):527–539, 2010) to give a direct proof of some recent results in Haak and Le Merdy (Houst. J. Math., 2005) and Haak and Kunstmann (SIAM J. Control Optim. 45:2094–2118, 2007) which characterizes the L
p
-admissibility of type α depending on p of unbounded observation operators for bounded analytic semigroups. |
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