English

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

Functional Analysis 2023-12-13 v3 Complex Variables

Abstract

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

Keywords

Cite

@article{arxiv.2311.16606,
  title  = {A note on extreme points of the unit of Hardy-Lorentz spaces},
  author = {Javier Carrillo-Alanís and Guillermo P. Curbera},
  journal= {arXiv preprint arXiv:2311.16606},
  year   = {2023}
}

Comments

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