About

I am an Assistant Professor at Universidad Complutense de Madrid. 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.
  • Regularity estimates for differential operators.

CONTACT ME

Departamento de Análisis Matemático y Matemática Aplicada

https://ucm.es/dpto-amma

Facultad de Matemáticas, Universidad Complutense de Madrid

https://www.ucm.es/mathematics

Office: 304-J

Email: oscar.dominguez@ucm.es