论文标题
Carnot组的反向Coarea型不平等
A reverse coarea-type inequality in Carnot groups
论文作者
论文摘要
我们证明了连续的PANSU可区分功能在两个具有同质距离的Carnot组之间作用的coarea型不平等。我们假设该函数的水平集均匀地定期较低,并且Pansu差异无处不在。
We prove a coarea-type inequality for a continuously Pansu differentiable function acting between two Carnot groups endowed with homogeneous distances. We assume that the level sets of the function are uniformly lower Ahlfors regular and that the Pansu differential is everywhere surjective.