HARDY APPROXIMATION TO L(INFINITY) FUNCTIONS ON SUBSETS OF THE CIRCLE

Authors
BARATCHART L LEBLOND J PARTINGTON JR
Citation
L. Baratchart et al., HARDY APPROXIMATION TO L(INFINITY) FUNCTIONS ON SUBSETS OF THE CIRCLE, Constructive approximation, 12(3), 1996, pp. 423-435
Citations number
14
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Constructive approximation → ACNP
ISSN journal
01764276
Volume
12
Issue
3
Year of publication
1996
Pages
423 - 435
Database
ISI
SICI code
0176-4276(1996)12:3<423:HATLFO>2.0.ZU;2-R
Abstract
We consider approximation of L(infinity) functions by H-infinity funct ions on proper subsets of the circle. We derive some properties of tra ces of Hardy classes on such subsets, and then turn to a generalizatio n of classical extremal problems involving norm constraints on the com plementary subset.