2 papers
math.FA2026
Log-Sobolev and Beckner inequalities and stability of Poincaré inequality with weighted Gaussian measures
Nguyen Lam, Guozhen Lu, Andrey Russanov
We employ a Markov semigroup approach combined with the -calculus to establish a generalized Beckner inequality associated with weighted Gaussian measures. As a direct consequen…
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 -calculus to establish the Poincaré inequality with monomial Gaussian measure, and then apply the duality approach to st…