A note on extreme points of the unit ball of Hardy-Lorentz spaces
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- by Javier Carrillo-Alanís and Guillermo P. Curbera;
- Proc. Amer. Math. Soc. 152 (2024), 2551-2554
- DOI: https://doi.org/10.1090/proc/16733
- Published electronically: April 11, 2024
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Abstract:
We show that inner functions are extreme points of the unit ball of the Hardy-Lorentz space $H(\Lambda (\varphi ))$, for $\Lambda (\varphi )$ a Lorentz space with $\varphi$ strictly increasing and strictly concave.References
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Bibliographic Information
- Javier Carrillo-Alanís
- Affiliation: Facultad de Matemáticas, Universidad de Sevilla, Calle Tarfia s/n, Sevilla 41012, Spain
- ORCID: 0000-0002-7314-5169
- Email: fcarrillo@us.es
- Guillermo P. Curbera
- Affiliation: Facultad de Matemáticas & IMUS, Universidad de Sevilla, Calle Tarfia s/n, Sevilla 41012, Spain
- MR Author ID: 312355
- Email: curbera@us.es
- Received by editor(s): April 14, 2023
- Received by editor(s) in revised form: November 20, 2023
- Published electronically: April 11, 2024
- Communicated by: Harold P. Boas
- © Copyright 2024 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 152 (2024), 2551-2554
- MSC (2020): Primary 30H10, 46E30; Secondary 30J05
- DOI: https://doi.org/10.1090/proc/16733
- MathSciNet review: 4741248