Weak Poincaré Inequality for Convolution Probability Measures

Published 18 Jul 2014 in math.PR | (1407.4910v2)

Abstract: 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.

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