Laplace-Carleson embeddings and infinity-norm admissibility

2021/09/23 by Jacob, Birgit, Partington, Jonathan R., Pott, Sandra +2
#46E15 #47D06 #93B28 #93D25 #FOS: Mathematics #Functional Analysis (math.FA) #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.2109.11465

Abstract

New results on the boundedness of Laplace-Carleson embeddings on L^∞ and Orlicz spaces are proved. These findings are crucial for characterizing admissibility of control operators for linear diagonal semigroup systems in a variety of contexts. A particular focus is laid on essentially bounded inputs.

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