Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Hankel matrix acting on spaces of analytic functions   If $\mu $ is a positive Borel measure on the interval $[0, 1)$ we let
$\mathcal H_\mu $ be the Hankel matrix $\mathcal H_\mu =(\mu _{n, k})_{n,k\ge
0}$ with entries $\mu _{n, k}=\mu _{n+k}$, where, for $n\,=\,0, 1, 2, \dots $,
$\mu_n$ denotes the moment of order $n$ of $\mu $. This matrix induces formally
the operator $$\mathcal{H}_\mu (f)(z)=
\sum_{n=0}^{\infty}\left(\sum_{k=0}^{\infty} \mu_{n,k}{a_k}\right)z^n$$ on the
space of all analytic functions $f(z)=\sum_{k=0}^\infty a_kz^k$, in the unit
disc $\mathbb D $. This is a natural generalization of the classical Hilbert
operator. In this paper we improve the results obtained in some recent papers
concerning the action of the operators $H_\mu $ on Hardy spaces and on M\"obius
invariant spaces.

9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ