凸庞加莱不等式
概率论
2013-10-09 v2
摘要
我们刻画了满足一维凸庞加莱不等式（convex Poincaré inequality）的对称测度。对于这些测度，张量化论证可导出其乘积测度在中凸集上的浓度不等式。
引用
@article{arxiv.1310.1881,
title = {Convex Poincar\'e inequality},
author = {P. Nayar and T. Tkocz},
journal= {arXiv preprint arXiv:1310.1881},
year = {2013}
}
备注
This paper has been withdrawn as it turned out that the result is known due to the work S. Bobkov, F. G\"otze, Discrete isoperimetric and Poincar\'e-type inequalities, Probab. Theory Related Fields 114 (1999), no. 2, 245-277