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Existence of solutions of extremal problems in H1
Published online by Cambridge University Press: 20 January 2009
Abstract
An essentially bounded function on the unit circle gives a continuous linear functional on the Hardy space H1. In this paper we study when there exists at least one function which attains its norm. We apply the results to an interpolation problem, Hankel operators and a characterization of exposed points of the closed unit ball of H1.
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 34 , Issue 1 , February 1991 , pp. 99 - 112
- Copyright
- Copyright © Edinburgh Mathematical Society 1991
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