English

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

Functional Analysis 2008-06-09 v1 Optimization and Control

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.

Keywords

Cite

@article{arxiv.0806.1168,
  title  = {Tangential interpolation in weighted vector-valued H^p spaces, with applications},
  author = {Birgit Jacob and Jonathan R. Partington and Sandra Pott},
  journal= {arXiv preprint arXiv:0806.1168},
  year   = {2008}
}

Comments

28 pages

R2 v1 2026-06-21T10:48:13.023Z