Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Closed maximal ideals ideals in some Fr\'echet algebras of holomorphic
  functions   The space $F^p$ ($1<p<\infty$) consists of all holomorphic functions $f$ on
the open unit disk $\Bbb D$ such that $ \lim_{r\to
1}(1-r)^{1/q}\log^+M_{\infty}(r,f)=0,$ where $M_{\infty}(r,f)=\max_{\vert
z\vert\le r}\vert f(z)\vert$ with $0<r<1$. Stoll [5, Theorem 3.2] proved that
the space $F^p$ with the topology given by the family of seminorms
$\left\{\Vert \cdot\Vert_{q,c}\right\}_{c>0}$ defined for $f\in F^q$ as $\Vert
f\Vert_{q,c}:=\sum_{n=0}^{\infty}\vert a_n\vert\exp\left(-cn^{1/(q+1)}
\right)<\infty$, becomes a countably normed Fr\'{e}chet algebra. It is known
that for every $p>1$, $F^p$ is the Fr\'{e}chet envelope of the Privalov space
$N^p$. In this paper, we extend our study of [32] on the structure of maximal
ideals in the algebras $F^p$ ($1<p<\infty$). Namely, the obtained
characterization of closed maximal ideals in $F^p$ from [32] is extended here
in terms of topology of uniform convergence on compact subsets of $\Bbb D$.

19
The categories of this paper are: eess
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
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The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph