Integral representations and the generalized Poincaré inequality on Carnot groups

被引：0
|
作者：
E. A. Plotnikova
机构：
[1] Novosibirsk State University,
来源：
Siberian Mathematical Journal | 2008年 / 49卷
关键词：
Carnot group; integral representation; Poincaré inequality;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We give some integral representations of the form f(x) = P(f)+K(∇f) on two-step Carnot groups, where P(f) is a polynomial and K is an integral operator with a specific singularity. We then obtain the weak Poincaré inequality and coercive estimates as well as the generalized Poincaré inequality on the general Carnot groups.
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页码：339 / 352
页数：13
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