论文标题
a $ c^{m，ω} $ whitney扩展定理用于海森伯格集团的水平曲线
A $C^{m,ω}$ Whitney Extension Theorem for Horizontal Curves in the Heisenberg Group
论文作者
论文摘要
我们表征了$ \ mathbb {r} $从$ \ mathbb {r} $的哪些映射到Heisenberg组中，可以将其扩展到$ c^{m，ω} $水平曲线，对于给定的连续性$ω$的给定模量。我们通过表明$ c^{m，ω} $扩展属性失败而激发我们的表征，如果我们使用$ c^{m} $案例的条件更直接的类似物。
We characterize which mappings from a compact subset of $\mathbb{R}$ into the Heisenberg group can be extended to a $C^{m,ω}$ horizontal curve for a given modulus of continuity $ω$. We motivate our characterization by showing that the $C^{m,ω}$ extension property fails if we instead use a more direct analogue of the conditions from the $C^{m}$ case.
