Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Pr\'ekopa-Leindler type inequality of the $L_p$ Brunn-Minkowski
  inequality   In this paper, we prove a Pr\'ekopa-Leindler type inequality of the $L_p$
Brunn-Minkowski inequality. It extends an inequality proved by Das Gupta [8]
and Klartag [16], and thus recovers the Pr\'ekopa-Leindler inequality. In
addition, we prove a functional $L_p$ Minkowski inequality.

8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph