Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Note on vector valued Hardy spaces related to analytic functions having
  distributional boundary values   Analytic functions defined on a tube domain $T^{C}\subset \mathbb{C}^{n}$ and
taking values in a Banach space $X$ which are known to have $X$-valued
distributional boundary values are shown to be in the Hardy space
$H^{p}(T^{C},X)$ if the boundary value is in the vector valued Lebesgue space
$L^{p}(\mathbb{R}^{n},X)$, where $1\leq p \leq \infty$ and $C$ is a regular
open convex cone. Poisson integral transform representations of elements of
$H^{p}(T^{C}, X)$ are also obtained for certain classes of Banach spaces,
including reflexive Banach spaces.

24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics