ABOUT ME
I obtained my PhD in Mathematics and Statistics from the University of the Basque Country at the BCAM - Basque Center for Applied Mathematics under the supervision of Carlos Pérez Moreno (Ikerbasque Research Professor, UPV/EHU and BCAM) and Luz Roncal (Ikerbasque Research Fellow, BCAM).
OTHERS
I studied my Master and Bachelor's degrees at Universidad de Málaga. Here you can find my Master and Bachelor theses:
Besides, I have been co-organizer of the LIGHT seminar at BCAM, from its foundation in 2018 until 2020.
- Master Thesis: Factorización y ceros de funciones en espacios de funciones analíticas
- Bachelor Thesis: La integral de Henstock-Kurzweil
Besides, I have been co-organizer of the LIGHT seminar at BCAM, from its foundation in 2018 until 2020.
Dissemination
- La integral de Henstock-Kurzweil y el segundo teorema fundamental del cálculo, TEMat 1 (2017), pp. 15-23
- Four different approaches to the fractional Laplacian, TEMat: monográficos, 1 (2020): Artículos de las VIII y IX Escuela-Taller de Análisis Funcional, pp. 47-60
RESEARCH
My research is focused in the study of weighted generalized Poincaré-type inequalities by means of techniques of Harmonic Analysis. More specifically, I have mainly been studying self-improving results as a tool for obtaining weighted Poincaré-Sobolev inequalities both in the Euclidean setting and the abstract context of metric measure spaces with the so-called doubling property. Fractional and classical Poincaré-Sobolev inequalities, and also BMO type inequalities, are among the inequalities I study.