Wellcome to the webpage of the research group
FUNTION SPACES AND HIGH-DIMENSIONAL APPROXIMATION
The Funtion spaces and high-dimentional approximation group aims to deepen and advance in solving problems in the theory of function spaces where techniques related to interpolation theory, decomposition methods and operator theory have shown to be very useful. The objectives are current and correspond to cutting-edge lines of research. They include:
1. Multiplication algebras.
2. Interpolation of Besov spaces.
3. Nuclearity in spaces of dominating mixed smoothness.
4. Gevrey-type spaces.
5. Preasymptotic estimates.
6. Interpolation of multilinear operators.
The group is supported by the research grant:
- Function Spaces and High-dimensional Approximation.
Ministerio de Ciencia e Innovación y Universidades.
Grant: PCI2024-155073-2. Period of research: 1/11/2024 -- 1/11/2027. Principal Investigator: Fernando Cobos.
Moreover, together with other colleagues, the group is also supported by:
- Interpolation Theory, Function Spaces and Multilinear Operators.
Universidad Complutrense de Madrid.
Grant: PR3/23-30811. Period of research: 15/11/2023 -- 15/5/2025. Principal Investigator: Fernando Cobos.
- Espacios de Funciones, Análisis de Fourier e Interpolación
Universidad Complutense de Madrid.
Grant: Grupo UCM-970966. Principal Investigator: Fernando Cobos.