Interpolation by vector-valued analytic functions, with applications to controllability

被引：8
|
作者：
Jacob, Birgit
Partington, Jonathan R.
Pott, Sandra
机构：
[1] Delft Univ Technol, Dept Appl Math, NL-2600 GA Delft, Netherlands
[2] Univ Leeds, Sch Math, Leeds LS2 9JT, W Yorkshire, England
[3] Univ Glasgow, Dept Math, Glasgow G12 8QW, Lanark, Scotland
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2007年 / 252卷 / 02期
关键词：
Hardy space; interpolation; Carleson measure; semigroup system; controllability; observability;
D O I：
10.1016/j.jfa.2007.07.008
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, norm estimates are obtained for the problem of minimal-norm tangential interpolation by vector-valued analytic functions, expressed in terms of the Carleson constants of related scalar measures. Applications are given to the controllability properties of linear semigroup systems with a Riesz basis of eigenvectors. (c) 2007 Elsevier Inc. All rights reserved.
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页码：517 / 549
页数：33
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