Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: H{\"o}lder classes in $L^p$ norm on a chord arc curve in $\mathbb R^3$   We define H{\"o}lder classes in the $L^p$ norm on a chord-arc curve in
$\mathbb{R}^3$ and prove direct and inverse approximation theorems for
functions from these classes by functions harmonic in a neighborhood of the
curve. The approximation is estimated in the $L^p$ norm, and the smaller the
neighborhood, the more accurate the approximation.

8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
1
The categories of this paper are: cs