Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Composition operators on the Bergman spaces of a minimal bounded
  homogeneous domain   Using an integral formula on a homogeneous Siegel domain, we show a necessary
and sufficient condition for composition operators on the weighted Bergman
space of a minimal bounded homogeneous domain to be compact. To describe the
compactness of composition operators, we see a boundary behavior of the Bergman
kernel.

36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga