Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Approximation and quasicontinuity of Besov and Triebel-Lizorkin
  functions   We show that, for $0<s<1$, $0<p<\infty$, $0<q<\infty$, Haj\l asz-Besov and
Haj\l asz-Triebel-Lizorkin functions can be approximated in the norm by
discrete median convolutions. This allows us to show that, for these functions,
the limit of medians, \[ \lim_{r\to 0}m_u^\gamma(B(x,r))=u^*(x), \] exists
quasieverywhere and defines a quasicontinuous representative of $u$. The above
limit exists quasieverywhere also for Haj\l asz functions $u\in M^{s,p}$,
$0<s\le 1$, $0<p<\infty$, but approximation of $u$ in $M^{s,p}$ by discrete
(median) convolutions is not in general possible.

7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex