Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fractional integration with singularity on unit sphere   We study a family of convolution operators whose kernels have a singularity
on the unit sphere. As a result, we prove the regarding L^p-L^q Sobolev
inequalities.

6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs