English

Weak Poincar\'e Inequality for Convolution Probability Measures

Probability 2016-12-20 v2

Abstract

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

Keywords

Cite

@article{arxiv.1407.4910,
  title  = {Weak Poincar\'e Inequality for Convolution Probability Measures},
  author = {Li-Juan Cheng and Shao-Qin Zhang},
  journal= {arXiv preprint arXiv:1407.4910},
  year   = {2016}
}
R2 v1 2026-06-22T05:07:16.865Z