Integral representations and the generalized Poincaré inequality on Carnot groups

E. A. Plotnikova

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Integral representations and the generalized Poincaré inequality on Carnot groups

机译：卡诺群上的积分表示和广义Poincaré不等式

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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.

机译：我们在两步卡诺组上给出一些形式为f（x）= P（f）+ K（？f）的积分表示，其中P（f）是多项式，K是具有特定奇点的积分算子。然后，我们获得了较弱的Poincaré不等式和强制估计以及一般Carnot组上的广义Poincaré不等式。

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来源
《Siberian Mathematical Journal》 |2008年第2期|共14页
作者
E. A. Plotnikova;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Carnot group; integral representation; Poincaré inequality;

机译：卡诺群;积分表示;庞加莱不等式;

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Integral representations and the generalized Poincaré inequality on Carnot groups

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