Article contents
Factorizations of outer functions and extremal problems
Published online by Cambridge University Press: 20 January 2009
Abstract
The author has proved that an outer function in the Hardy space H1 can be factored into a product in which one factor is strongly outer and the other is the sum of two inner functions. In an endeavor to understand better the latter factor, we introduce a class of functions containing sums of inner functions as a special case. Using it, we describe the solutions of extremal problems in the Hardy spaces Hp for 1≦p<∞.
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 39 , Issue 3 , October 1996 , pp. 535 - 546
- Copyright
- Copyright © Edinburgh Mathematical Society 1996
References
REFERENCES
- 2
- Cited by