Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quasiconformal, Lipschitz, and BV mappings in metric spaces   Consider a mapping $f\colon X\to Y$ between two metric measure spaces. We
study generalized versions of the local Lipschitz number $\mathrm{Lip} f$, as
well as of the distortion number $H_f$ that is used to define quasiconformal
mappings. Using these, we give sufficient conditions for $f$ being a BV mapping
$f\in BV_{\mathrm{loc}}(X;Y)$ or a Newton-Sobolev mapping $f\in
N_{\mathrm{loc}}^{1,p}(X;Y)$, with $1\le p<\infty$.

20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg