Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some spectral properties of the canonical solution operator to
  $\bar\partial$ on weighted Fock spaces   We characterize the Schatten class membership of the canonical solution
operator to $\bar\partial$ acting on $L^2(e^{-2\phi})$, where $\phi$ is a
subharmonic function with $\Delta\phi$ a doubling measure. The obtained
characterization is in terms of $\Delta\phi$. As part of our approach, we study
Hankel operators with anti-analytic symbols acting on the corresponding Fock
space of entire functions in $L^2(e^{-2\phi})$.

26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc