Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multipliers of Dirichlet subspaces of the Bloch space   For $0<p<\infty $ we let $\mathcal D^p_{p-1}$ denote the space of those
functions $f$ which are analytic in the unit disc $\mathbb D $ and satisfy
$\int_\mathbb D (1-| z|)\sp {p-1}| f'(z)| \sp p\,dA(z)<\infty $. It is known
that, whenever $p\neq q$, the only multiplier from $\mathcal D^p_{p-1} $ to
$\mathcal D^q_{q-1} $ is the trivial one. However, if $X$ is a subspace of the
Bloch space and $0<p\le q<\infty$, then $X \cap \mathcal D^p_{p-1}\subset X\cap
\mathcal D^q_{q-1} $, a fact which implies that the space of multipliers
$\M(\mathcal D^p_{p-1}\cap X, \mathcal D^q_{q-1} \cap X)$ is non-trivial. In
this paper we study the spaces of multipliers $\M(\mathcal D^p_{p-1}\cap X,
v\cap X)$ ($0<p,q<\infty $) for distinct classical subspaces $X$ of the Bloch
space. Specifically, we shall take $X$ to be $H^\infty $, $BMOA$ and the Bloch
space $\mathcal B $.

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The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
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The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: adap-org
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The categories of this paper are: alg-geom
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio