Grupo de Análisis Real y Funcional (GARF)

The Real and Functional Analysis group aims to further deepen and advance in solving important problems in Real, Harmonic and Functional Analysis, which are of great interest on these fields of research, and can be summarized by the following keywords: Rubio de Francia extrapolation theory; Yano's extrapolation theory; optimal Sobolev embeddings; isoperimetric weights; Pseudodifferential operators; Fourier transform and rearrangement invariant spaces; optimal estimates for Hardy operator; quasi-Banach lattices; doubling measures; graphs; Lebesgue exterior spaces; quasicrystals; Gabor bases; wavelets.

The group is currently supported by the following research grant:

• Espacios de Funciones y Técnicas de Acotación de Operadores en Análisis
  (Function Spaces and Boundedness of Operators Methods in Analysis).
  Gobierno de España (Spanish Government).
  Grant: PID2020-113048GB-I00. Principal Investigators: María J. Carro / Javier Soria.
• Espacios de Funciones, Análisis de Fourier e Interpolación
  (Function Spaces, Fourier Analysis, and Interpolation Theory).
  Universidad Complutrense de Madrid (Complutense University of Madrid).
  Grant: Grupo UCM-970966. Principal Investigator: Fernando Cobos.

GARF is one of the research groups in Spain responsible for the organization of the Encuentros de Análisis Real y Complejo.
GARF is also a member of the Network on Mathematical Analysis and Applications.

Updated: April 15, 2024