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].
Publisher
Cambridge University Press (CUP)
Reference7 articles.
1. Exposed points in H1, I;Sarason;Oper. Theory Adv. Appl.,1989
2. Extreme points and extremum problems inH1
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