Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The canonical solution operator to d-bar restricted to Bergman spaces
  and spaces of entire functions   In this paper we obtain a necessary and sufficient condition for the
canonical solution operator to $\overline \partial $ restricted to radial
symmetric Bergman spaces to be a Hilbert-Schmidt operator. We also discuss
compactness of the solution operator in spaces of entire functions in one
variable. In the sequel we consider several examples and also treat the case of
weighted spaces of entire functions in several variables.

4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex