Article contents
Extremal problems in Hp
Published online by Cambridge University Press: 09 April 2009
Abstract
Let 1≤p <∞ and 1/p+1/q = 1. If φ ∈ Lq, we denote by Tφ the functional defined on the Hardy space Hp by . A function f in Hp, which satisfies Tpφ(f) = ‖Tpφ‖ and ‖f‖p ≤ 1, is called an extremal function. Also, φ is called an extremal kernel when ‖φ‖q =‖Tpφ‖. In this paper, using the results in the case of p = 1, we study extremal kernel and extremal functions for p > 1.
MSC classification
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 52 , Issue 1 , February 1992 , pp. 103 - 110
- Copyright
- Copyright © Australian Mathematical Society 1992
References
- 4
- Cited by