论文标题
关于某些非局部静态的限制行为：一种新现象
On the limiting behaviour of some nonlocal seminorms: a new phenomenon
论文作者
论文摘要
在本说明中，我们将某些基于Semigroup的BESOV的besov eminorms的$ s \至0^+$研究与不对称和低纤维化扩散有关。我们的结果概括了Maz'ya和Shaposhnikova的前一个经典的Sobolev Spaces $ W^{s，p} $，并且它们也强调了由于漂移的存在而引起的新现象。
In this note we study the behaviour as $s\to 0^+$ of some semigroup based Besov seminorms associated with a non-symmetric and hypoelliptic diffusion with a drift. Our results generalise a previous one of Maz'ya and Shaposhnikova for the classical fractional Sobolev spaces $W^{s,p}$, and they also underscore a new phenomenon caused by the presence of the drift.
