Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Normal trace for vector fields of bounded mean oscillation   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.

20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int