Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A generalized mean value inequality for subharmonic functions and
  applications   We generalize the well-known mean value inequality of subharmonic functions
for a slightly more general function class. We also apply this generalized mean
value inequality to weighted boundary behavior and nonintegrability questions
of subharmonic and superharmonic functions.

13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio