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math.AP2022
Improved Caffarelli-Kohn-Nirenberg Inequalities and Uncertainty Principle
Pei Dang, Weixiong Mai
In this paper we prove some improved Caffarelli-Kohn-Nirenberg inequalities and uncertainty principle for complex- and vector-valued functions on , which is a further…
math.CV2022
Hilbert Boundary Value Problems for Hyper Monogenic Functions on The Hyperplane
Pei Dang, Jinyuan Du, Tao Qian
This paper systematically studies Hilbert boundary value problems for hyper monogenic functions on the hyperplane for the solutions being of any integer orders at the infinity, whe…