I am an Assistant Professor at Universidad Complutense de Madrid and a Simons Fellow at Centre de Recherche Mathématique-Montreal. I am broadly interested in applications of Function Spaces to Approximation Theory, Harmonic Analysis and PDE. More specifically:
- Spaces of distributions such as Besov, Triebel-Lizorkin and Sobolev spaces (characterizations, embeddings, traces).
- Relations between interpolation theory and approximation methods.
- Weighted norm inequalities for the Fourier transform.
- Partial Differential Equations.
CONTACT ME
Departamento de Análisis Matemático y Matemática Aplicada
Facultad de Matemáticas, Universidad Complutense de Madrid
https://www.ucm.es/mathematics
Office: 304-J
Email: oscar.dominguez@ucm.es
