We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Sharp uncertainty principles on metric measure spaces.
- Authors
Han, Bang-Xian; Xu, Zhe-Feng
- Abstract
We prove the rigidity of the Heisenberg–Pauli–Weyl uncertainty principle and the Caffarelli–Kohn–Nirenberg interpolation inequality, on metric measure spaces satisfying measure contraction property. Non-trivial examples fitting our setting include Finsler manifolds with non-negative Ricci curvature and many ideal sub-Riemannian manifolds, such as Heisenberg groups, the Grushin plane and Sasakian structures.
- Subjects
HEISENBERG uncertainty principle; METRIC spaces; CURVATURE; RIEMANNIAN manifolds; INTERPOLATION
- Publication
Calculus of Variations & Partial Differential Equations, 2024, Vol 63, Issue 4, p1
- ISSN
0944-2669
- Publication type
Article
- DOI
10.1007/s00526-024-02705-9