Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on BV and 1-Sobolev functions on the weighted Euclidean space   In the setting of the Euclidean space equipped with an arbitrary Radon
measure, we prove the equivalence between several notions of function of
bounded variation present in the literature. We also study the relation between
various definitions of 1-Sobolev function.

36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an