Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multilinear embedding estimates for the fractional Laplacian   Three novel multilinear embedding estimates for the fractional Laplacian are
obtained in terms of trace integrals restricted to the diagonal. The resulting
sharp inequalities may be viewed as extensions of the Hardy-Littlewood-Sobolev
inequality, the Gagliardo-Nirenberg inequality and Pitt's inequality.

14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph