Weak Poincaré Inequality for Convolution Probability Measures

Abstract

By using Lyapunov conditions, weak Poincaré inequalities are established for some probability measures on a manifold $(M,g)$. These results are further applied to the convolution of two probability measures on ${\mathbb{R}}^d$. Along with explicit results we study concrete examples.

Cited by in corpus (2)

• An extension of the Beckner's type Poincaré inequality to convolution measures on abstract Wiener spaces
• Exponential convergence in Wasserstein Distance for Diffusion Semigroups with Irregular Drifts