Sharp uncertainty principles on metric measure spaces
Metric Geometry
2023-09-06 v1 Functional Analysis
Abstract
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.
Cite
@article{arxiv.2309.00847,
title = {Sharp uncertainty principles on metric measure spaces},
author = {Bang-Xian Han and Zhefeng Xu},
journal= {arXiv preprint arXiv:2309.00847},
year = {2023}
}