Alejandro Claros | Mathematician in 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, under the supervision of Carlos Pérez. I obtained a predoctoral Severo Ochoa fellowship at BCAM and I am also a member of the Bilbao Analysis and PDE group.

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My research focuses on weighted inequalities, Poincaré-type inequalities, fractional Poincaré–Sobolev inequalities and BMO spaces.

2026
with Carlos Pérez and Linfei Zheng, From generalized Poincaré to Poincaré–Sobolev inequalities via self-improving methods. Preprint.
arXiv
with Ezequiel Rela, Asymptotically sharp embedding of A∞ into Aₚ and applications to Poincaré–Sobolev inequalities. Accepted for publication in International Mathematics Research Notices (IMRN).
arXiv
with Carlos Pérez, Bourgain–Brezis–Mironescu formula for Riesz potentials. Accepted for publication in Advances in Mathematics.
arXiv
with You-Wei Benson Chen, Commutators of fractional integrals with BMOᵝ functions. Preprint.
arXiv
2025
Quantitative BMO–BLO estimates for the Hardy–Littlewood maximal function. Preprint.
arXiv
with You-Wei Benson Chen, β-dimensional sharp maximal function and its applications. Preprint.
arXiv
Degenerate Poincaré–Sobolev inequalities via fractional integration. Journal of Functional Analysis 289 (2025), no. 6, Paper No. 111000.
arXiv journal

2022–present: PhD in Mathematics, University of the Basque Country / Euskal Herriko Unibertsitatea
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