Tangential interpolation in weighted vector-valued H^p spaces, with applications

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/162430In this paper, norm estimates are obtained for the problem of minimal-norm tangential interpolation by vector-valued analytic functions in weighted H^p spaces, expressed in terms of the Carleson constants of related scalar measures. Applications are given to the notion of p-controllability properties of linear semigroup systems and controllability by functions in certain Sobolev spaces.28 pagesFunctional AnalysisOptimization and Control30D55; 30E05,; 47A57; 47D06; 93B05.Tangential interpolation in weighted vector-valued H^p spaces, with applicationstext