Alejandro Claros (he/him)
Harmonic and Real Analysis
I am Alejandro Claros Pérez, a mathematician working in Harmonic and Real Analysis at the BCAM — Basque Center for Applied Mathematics. I am also a member of the Bilbao Analysis and PDE group.
I obtained my PhD in Mathematics and Statistics from the University of the Basque Country / Euskal Herriko Unibertsitatea in September 2026, under the supervision of Carlos Pérez. My doctoral research was supported by a Severo Ochoa predoctoral fellowship at BCAM.
Contact
- aclaros [AT] bcamath [DOT] org
- Address
- Alameda de Mazarredo 16
48009 Bilbao, Spain
Research
My research focuses on weighted inequalities, Poincaré-type inequalities, fractional Poincaré–Sobolev inequalities and BMO spaces.
Publications
Topics in harmonic analysis related to weighted Poincaré–Sobolev inequalities. PhD thesis, University of the Basque Country / Euskal Herriko Unibertsitatea (2026).
From generalized Poincaré to Poincaré–Sobolev inequalities via self-improving methods. Preprint.
Asymptotically sharp embedding of into for flat weights and applications to Poincaré–Sobolev inequalities. International Mathematics Research Notices (2026), no. 19, Paper No. rnag212.
Bourgain–Brezis–Mironescu formula for Riesz potentials. Advances in Mathematics 503 (2026), Paper No. 111226.
Commutators of fractional integrals with functions. Preprint.
Quantitative – estimates for the Hardy–Littlewood maximal function. Preprint.
-dimensional sharp maximal function and its applications. Preprint.
Degenerate Poincaré–Sobolev inequalities via fractional integration. Journal of Functional Analysis 289 (2025), no. 6, Paper No. 111000.
Talks
Encuentros de Análisis Real y Complejo (EARCO 2026)
Self-improving properties of Poincaré-type inequalities
Seminario de Análisis Armónico y Funcional, Universidad de Buenos Aires
Desigualdades de Poincaré–Sobolev con pesos
XVIII Congreso Dr. Antonio Monteiro, Bahía Blanca
Desigualdades de Poincaré–Sobolev con pesos vía integración fraccionaria
12th International Conference on Harmonic Analysis and Partial Differential Equations, El Escorial
Weighted Poincaré–Sobolev inequalities via fractional integration
IX Jornadas de Investigación, UPV/EHU
Weighted Poincaré–Sobolev inequalities via fractional integration
Recent Advances in Harmonic Analysis, Málaga
Weighted Poincaré–Sobolev inequalities via fractional integration
Barcelona Analysis Conference (BAC24)
Weighted Poincaré–Sobolev inequalities via fractional integration
SARCTO–UMA, Universidad de Málaga
Weighted Poincaré–Sobolev inequalities
PhD Meeting “Perspectivas de la investigación en Matemáticas”, Pamplona
Self-improving of Poincaré-type inequalities and applications
Spring School on Analysis 2023, Paseky nad Jizerou
Self-improving of Poincaré–Sobolev-type inequalities
Geometric and Functional Inequalities, Function Spaces and PDEs, Prague
Self-improving Poincaré-type inequalities in Lorentz spaces and applications
Curriculum vitae
Download pdfEducation
- 2022–2026
- PhD in Mathematics and Statistics, University of the Basque Country / Euskal Herriko Unibertsitatea.
Defended on 25 September 2026.Cum Laude · International Doctorate - 2019–2020
- Master’s degree in Mathematics, interuniversity programme of Granada, Málaga, Almería, Cádiz and Jaén
- 2015–2019
- Bachelor’s degree in Mathematics, University of Málaga
Positions
- Jul–Sep 2025
- Visiting research fellow, Universidad de Buenos Aires
- 2022–2026
- Doctoral researcher in Harmonic and Real Analysis, BCAM
- 2021–2022
- Research technician in Harmonic and Real Analysis, BCAM
Undergraduate work: Master’s thesis and Bachelor’s thesis.