Geometric Aspects of Sobolev Space Theory (GeoSobo)
Main funder
Funder's project number: 314789
Funds granted by main funder (€)
- 600 000,00
Funding program
Project timetable
Project start date: 01/09/2018
Project end date: 31/08/2022
Summary
The purpose of the project is to find new connections of Sobolev spaces theory with geometry and regularity in Euclidean spaces and in more general metric measure spaces. We study curvature, regularity of harmonic functions, differentiability of Lipschitz maps, removable sets and extension domains.
Principal Investigator
Primary responsible unit
Related publications and other outputs
1 of 3
- First-order heat content asymptotics on RCD(K,N) spaces (2024) Caputo, Emanuele; et al.; A1; OA
- Dimension estimate for the two-sided points of planar Sobolev extension domains (2023) Takanen, Jyrki; A1; OA
- Dimension estimates for the boundary of planar Sobolev extension domains (2023) Lučić, Danka; et al.; A1; OA
- Equivalent Definitions of Very Strict CD(K,N) -spaces (2023) Schultz, Timo; A1; OA
- Non-Hilbertian tangents to Hilbertian spaces (2023) Lučić, Danka; et al.; A1; OA
- Removability of product sets for Sobolev functions in the plane (2023) Bindini, Ugo; et al.; A1; OA
- Tensorization of quasi-Hilbertian Sobolev spaces (2023) Eriksson-Bique, Sylvester; et al.; A1; OA
- The metric-valued Lebesgue differentiation theorem in measure spaces and its applications (2023) Lučić, Danka; et al.; A1; OA
- Two-Sided Boundary Points of Sobolev Extension Domains on Euclidean Spaces (2023) García-Bravo, Miguel; et al.; A1; OA
- Universal Infinitesimal Hilbertianity of Sub-Riemannian Manifolds (2023) Le Donne, Enrico; et al.; A1; OA
