2 citations · 2 across the 12 of their papers we have counts for
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The stability of Sharp Poincaré and Brascamp--Lieb inequalities with full monomial weights
Nguyen Lam, Guozhen Lu, Andrey Russanov
It was known that the Gaussian measures with monomial weights satisfy the sharp pointwise curvature-dimension condition , and consequently they allow us to derive th…
Sharp uniform stability of the logarithmic Sobolev inequality on finite cycles and stability of the cubic Sobolev inequality
Lu Chen, Nguyen Lam, Guozhen Lu
We determine the sharp uniform constant in the quartic stability estimate for the logarithmic Sobolev inequality on finite cycles. We equip with the…
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…
Pólya--Szegö Inequality on Submanifolds of Riemannian Manifolds with Nonnegative Curvature and Applications
Anh Xuan Do, Nguyen Lam, Guozhen Lu +1
We prove a Pólya--Szegö inequality for functions defined on an -dimensional submanifold of a complete noncompact Riemannian manifold with nonnegative sectional curvature. Th…
Sharp -stability and gradient stability hierarchies of the -Poincaré inequalities on Euclidean balls and Gaussian Poincaré inequality
Nguyen Lam, Guozhen Lu
We study the sharp -Poincaré inequalities on Euclidean balls and with respect to the Gaussian measure, and we focus on their stability. In both settings, the sharp constant is…
Sharp -Caffarelli--Kohn--Nirenberg and weighted Poincaré inequalities on half-spaces and orthants and their stability
Nguyen Lam, Yukta Lodha, Guozhen Lu +1
Though the sharp -Caffarelli--Kohn--Nirenberg (CKN) inequalities have been extensively studied in the entire Euclidean spaces, the corresponding problem on domains whose bou…
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…
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…