Weak Poincar\'e Inequality for Convolution Probability Measures
  By using Lyapunov conditions, weak Poincar\'e 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 $\R^d$. Along with explicit results we study concrete examples. 
Li-Juan Cheng and Shao-Qin Zhang
math.PR