A note on extreme points of the unit of Hardy-Lorentz spaces

Abstract

We show that inner functions are extreme points of the unit ball of the Hardy-Lorentz space $H(\Lambda (\phi ))$, for $\Lambda (\phi )$ a Lorentz space with $\phi$ strictly increasing and strictly concave.

arXiv commentThis is the final version, to be published in the Proceedings of the American Mathematical Society