Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weighted Banach Spaces of Holomorphic Functions With Log-Concave Weight
  Function   Some theorems on convex functions are proved and an application of these
theorems in the theory of weighted Banach spaces of holomorphic functions is
investigated, too. We prove that $H_v(G)$ and $H_{v_0}(G)$ are exactly the same
spaces as $H_w(G)$ and $H_{w_0}(G)$ where $w$ is the smallest log-concave
majorant of $v$. This investigation is based on the theory of convex functions
and some specific properties of the weighted banach spaces of holomorphic
functions under considaration and we do not use the theory of associated
weights.

7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph