Article contents
An example of a non-exposed extreme function in the unit ball of H1
Published online by Cambridge University Press: 20 January 2009
Abstract
We construct a non-exposed extreme function f of the unit ball of H1, the classical Hardy space on the unit disc of the plane, which has the property: f(z)/(1−q(z))2 ∉ H1 for any nonconstant inner function q(z). This function constitutes a counterexample to a conjecture in D. Sarason [7].
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 37 , Issue 1 , February 1994 , pp. 47 - 51
- Copyright
- Copyright © Edinburgh Mathematical Society 1994
References
REFERENCES
- 6
- Cited by