Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Notes on area operator, geometric 2-rough paths and Young integral when
  p^-1+q^-1=1   1.When equipped with 2-rough norm and restricted to continuous paths with
bounded variation, the area operator is a closable unbounded operator. 2.The
area defined through Riemann-Stieltjes integral is the only possible candidate
to enhance a path with vanishing 2-variation into a geometric 2-rough path.
3.Young integral is extended to p^-1+q^-1=1 by assigning a finer scale
continuity.

6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph