论文标题
carnot组的本质上具有正常目标的Lipschitz函数
Intrinsically Lipschitz functions with normal target in Carnot groups
论文作者
论文摘要
我们为本质上Lipschitz函数提供了一个rademacher定理$ ϕ：u \ subseteq \ mathbb w \ to \ mathbb l $，其中$ u $是borel set，$ \ mathbb w $ and $ \ mathbb l $是carnot群体的互补子群，我们需要$ \ iS $ \ iS a $。例如，当$ \ mathbb w $是水平亚组时，我们的假设得到满足。此外，我们为这类本质上的Lipschitz功能提供了一个区域公式。
We provide a Rademacher theorem for intrinsically Lipschitz functions $ϕ:U\subseteq \mathbb W\to \mathbb L$, where $U$ is a Borel set, $\mathbb W$ and $\mathbb L$ are complementary subgroups of a Carnot group, where we require that $\mathbb L$ is a normal subgroup. Our hypotheses are satisfied for example when $\mathbb W$ is a horizontal subgroup. Moreover, we provide an area formula for this class of intrinsically Lipschitz functions.
