Guozhen Lu

activity

20232026

most cited

L^{p}

-Caffarelli-Kohn-Nirenberg inequalities and their stabilities

2 citations · 2 across the 12 of their papers we have counts for

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math.AP2025

Sharp stability of the Heisenberg Uncertainty Principle: Second-Order and Curl-Free Field Cases

Anh Xuan Do, Nguyen Lam, Guozhen Lu

Using techniques from harmonic analysis, we derive several sharp stability estimates for the second order Heisenberg Uncertainty Principle. We also present the explicit lower and u…

math.AP2025

Stability of Gaussian Poincaré inequalities and Heisenberg Uncertainty Principle with monimial weights

Nguyen Lam, Guozhen Lu, Andrey Russanov

We use the Bakry-Émery curvature-dimension criterion and $Γ$ -calculus to establish the Poincaré inequality with monomial Gaussian measure, and then apply the duality approach to st…