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2023•arXiv (Cornell University)Open access

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

Javier Carrillo-Alanís, Guillermo P. Curbera

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Abstract

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

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What this paper is about

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

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Available abstract

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

Key concepts: Lorentz space, Hardy space, Lorentz transformation, Unit sphere, Lambda, Space (punctuation), Unit (ring theory), Extreme point

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