Tangential Interpolation in Weighted Vector-valued Hp Spaces, with Applications

Jacob, B., Partington, J.R. and Pott, S. (2009) Tangential Interpolation in Weighted Vector-valued Hp Spaces, with Applications. Complex Analysis and Operator Theory, 3(3), pp. 697-727. (doi: 10.1007/s11785-008-0081-y)

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Publisher's URL: http://dx.doi.org/10.1007/s11785-008-0081-y

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.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Pott, Dr Sandra
Authors: Jacob, B., Partington, J.R., and Pott, S.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Complex Analysis and Operator Theory
ISSN:1661-8254

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