Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometric averaging operators and nonconcentration inequalities   This paper is devoted to a systematic study of certain geometric integral
inequalities which arise in continuum combinatorial approaches to
$L^p$-improving inequalities for Radon-like transforms over polynomial
submanifolds of intermediate dimension. The desired inequalities relate to and
extend a number of important results in geometric measure theory.

9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs