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math.AP2026
A Fourier approach to the sharp stability of Heisenberg Uncertainty Principles of higher and fractional orders: a new perspective
Anh Do, Nguyen Lam, Guozhen Lu +1
We show that, on the Fourier side, the sharp second order Heisenberg Uncertainty Principle (HUP) and its sharp stability for functions are nothing but the first order -Caffa…
math.AP2026
The weighted -Caffarelli-Kohn-Nirenberg inequalities for the curl-free vector fields and second order derivatives: The sharp constants and stability estimates
Anh Tuan Duong, Van Hoang Nguyen
In this paper, we study the weighted -Caffarelli-Kohn-Nirenberg inequalities for curl-free vector fields and second order derivatives. Firstly, we prove a family of the sharp…
math.AP2026
Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincaré Inequalities: a complete characterization of sharp stability and extensions
Anh Xuan Do, Nguyen Lam, Guozhen Lu +1
We introduce a new family of weighted Gaussian -Poincaré-type inequalities with explicit sharp constants, optimizers, and corresponding sharp -gradient stability estimate…