Sharp second order uncertainty principles
نویسندگان
چکیده
We study sharp second order inequalities of Caffarelli-Kohn-Nirenberg type in the euclidian space R N , where denotes dimension. This analysis is equivalent to uncertainty principles for special classes vector fields. In particular, we show that when switching from scalar fields u : n ? C form = ? U ( being a field) best constant Heisenberg Uncertainty Principle (HUP) increases 2 4 + ) and optimal Hydrogen (HyUP) improves ? 1 . As consequence our results answer open question Maz'ya [21, Section 3.9] case regarding HUP divergence free
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2022
ISSN: ['0022-1236', '1096-0783']
DOI: https://doi.org/10.1016/j.jfa.2022.109659