Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Integral operators mapping into the space of bounded analytic functions   We address the problem of studying the boundedness, compactness and weak
compactness of the integral operators $T_g(f)(z)=\int_0^z
f(\zeta)g'(\zeta)\,d\zeta$ acting from a Banach space $X$ into $H^\infty$. We
obtain a collection of general results which are appropriately applied and
mixed with specific techniques in order to solve the posed questions to
particular choices of $X$.

3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph