论文标题
$ Q $-Poincaré的不平等现象的Carnot群体具有丝状类型谎言代数
$q$-Poincaré inequalities on Carnot Groups with filiform type Lie algebra
论文作者
论文摘要
在本文中，我们证明了（全球）$ q $-poincaré的不平等现象，以实现任何长度为filliform Lie代数的Nilpotent Lie群体的概率措施。所考虑的概率度量相对于适合均质规范的函数的HAAR度量具有密度。
In this paper, we prove (global) $q$-Poincaré inequalities for probability measures on nilpotent Lie groups with filiform Lie algebra of any length. The probability measures under consideration have a density with respect to the Haar measure given as a function of a suitable homogeneous norm.
