Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weighted Banach spaces of holomorphic functions in the upper half plane   We consider weighted banach spaces of holomorphic functions on the upper half
plane that are determined by $
\|f\|=\sup_{y>0,-\infty<x<\infty}p(y)|f(x+iy)|<\infty $ for a very large class
of weight functions p. We completely solve the problem whether such banach
spaces are trivial or not by giving necessary and sufficient conditions stated
in terms of some simple properties of the weight function. Further, we
investigate the behaviour at infinity of some functions that belong to some of
the banach spaces under consideration.

19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
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The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
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The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
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The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int