Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A class of quasicontractive semigroups acting on Hardy and Dirichlet
  space   This paper provides a complete characterization of quasicontractive
$C_0$-semigroups on Hardy and Dirichlet space with a prescribed generator of
the form $Af=Gf'$. We show that such semigroups are semigroups of composition
operators and we give simple sufficient and necessary condition on $G$. Our
techniques are based on ideas from semigroup theory, such as the use of
numerical ranges.

24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph