有界平均振动的向量场的正规迹
Normal trace for vector fields of bounded mean oscillation
摘要：
引入定义在区域上的有界平均振动（$BMO$）的向量场空间，使得边界上的法迹在其发散性得到很好的控制时是有界的。对于我们的$BMO$向量场，“法向”分量和“切向”分量的行为可能不同。因此，法向分量的零延伸保持在$BMO$中，尽管这种性质可能不适用于切向分量。
英文摘要：
We introduce various spaces of vector fields of bounded mean oscillation ($BMO$) defined in a domain so that normal trace on the boundary is bounded when its divergence is well controlled. The behavior of "normal" component and "tangential" component may be different for our $BMO$ vector fields. As a result zero extension of the normal component stays in $BMO$ although such property may not hold for tangential components.
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