Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Constructive description of Hardy-Sobolev spaces in strictly
  pseudoconvex domains with minimal smoothness   Let $\Omega\subset\mathbb{C}^n$ be a strictly pseudoconvex Runge domain with
$C^2$-smooth defining function, $l\in\mathbb{N},$ $p\in(1,\infty).$ We prove
that the holomorphic function $f$ has derivatives of order $l$ in $H^p(\Omega)$
if and only if there exists a sequence on polynomials $P_n$ of degree $n$ such
that $\sum\limits_{k=1}^{\infty}2^{2lk}\left\lvert f(z)-P_{2^k}(z)
\right\rvert^2\in L^p(\partial\Omega).$

12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph