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- Title
Improved Caffarelli–Kohn–Nirenberg Inequalities and Uncertainty Principle.
- Authors
Dang, Pei; Mai, Weixiong
- Abstract
In this paper we prove some improved Caffarelli–Kohn–Nirenberg inequalities and uncertainty principle for complex- and vector-valued functions on R n , which is a further study of the results in Dang et al. (J Funct Anal 265:2239-2266, 2013). In particular, we introduce an analogue of "phase derivative" for vector-valued functions. Moreover, using the introduced "phase derivative", we extend the extra-strong uncertainty principle to cases for complex- and vector-valued functions defined on S n , n ≥ 2.
- Subjects
HEISENBERG uncertainty principle
- Publication
Journal of Geometric Analysis, 2024, Vol 34, Issue 3, p1
- ISSN
1050-6926
- Publication type
Article
- DOI
10.1007/s12220-023-01524-2