论文标题
分数变量指数SOBOLOLEV痕迹空间
Fractional variable exponents Sobolev trace spaces
论文作者
论文摘要
我们在配备了Lebesgue度量的欧几里得空间中的任何开放式空间上介绍和研究分数变量指数Sobolev痕量空间。我们表明，Sobolev函数的每个等效类别都有一个准确的代表。我们使用相对能力来完全表征零痕量分数变量指数SOBOLEV空间。我们还为可移动集提供了相对容量标准。
We introduce and study fractional variable exponents Sobolev trace spaces on any open set in the Euclidean space equipped with the Lebesgue measure. We show that every equivalence class of Sobolev functions has a quasicontinuous representatives. We use the relative capacity to characterize completely the zero trace fractional variable exponents Sobolev spaces. We also give a relative capacity criterium for removable sets.
