Sharp uncertainty principles on metric measure spaces
- Resource Type
- Working Paper
- Authors
- Han, Bang-Xian; Xu, Zhefeng
- Source
- Subject
- Mathematics - Metric Geometry
Mathematics - Functional Analysis
- Language
We study the Heisenberg-Pauli-Weyl uncertainty principle and the Caffarelli-Kohn-Nirenberg interpolation inequalities, on metric measure spaces satisfying measure contraction property. Using localization techniques, we show that these inequalities are valid only on volume cones.