论文标题
在Pansu定理的相反
On the converse of Pansu's Theorem
论文作者
论文摘要
我们将PANSU的可分差定理概括为Carnot组的一般ra措施，我们表明，如果Carnot组之间的Lipschitz地图几乎可以分化，那么对于某些radon量$μ$，则$μ$必须与该组的HAAR量度绝对连续。
We provide a suitable generalisation of Pansu's differentiability theorem to general Radon measures on Carnot groups and we show that if Lipschitz maps between Carnot groups are Pansu-differentiable almost everywhere for some Radon measures $μ$, then $μ$ must be absolutely continuous with respect to the Haar measure of the group.
