Tangential interpolation in weighted vector-valued H^p spaces, with applications
Birgit Jacob, Jonathan R. Partington, Sandra Pott

TL;DR
This paper derives norm estimates for tangential interpolation in weighted vector-valued H^p spaces using Carleson measures, with applications to controllability in linear systems and Sobolev spaces.
Contribution
It introduces new norm estimates for minimal-norm tangential interpolation in weighted H^p spaces, linking them to Carleson constants and applications in control theory.
Findings
Norm estimates expressed via Carleson constants.
Applications to p-controllability of linear semigroup systems.
Controllability results using Sobolev space functions.
Abstract
In 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.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Stability and Controllability of Differential Equations · Advanced Mathematical Modeling in Engineering
