Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sobolev-Kantorovich inequalities under $CD(0, \infty)$ condition   We refine and generalize several interpolation inequalities bounding the
$L^p$ norm of a probability density with respect to the reference measure $\mu$
by its Sobolev norm and the Kantorovich distance to $\mu$ on a smooth weighted
Riemannian manifold satisfying $CD(0, \infty)$ condition.

19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an