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

2023/11/28 by Carrillo-Alanís, Javier, Curbera, Guillermo P. · 1 citation
#30H10 #30J05 #46E30 #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2311.16606

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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