Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Essential Norm of Operators on $A^p_\alpha(\mathbb{B}_n)$   In this paper we characterize the compact operators on
$A^p_\alpha(\mathbb{B}_n)$ when $1<p<\infty$ and $\alpha>-1$. The main result
shows that an operator on $A^p_\alpha(\mathbb{B}_n)$ is compact if and only if
it belongs to the Toeplitz algebra and its Berezin transform vanishes on the
boundary of the ball.

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The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
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The categories of this paper are: quant-ph
1
The categories of this paper are: cs
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The categories of this paper are: q-alg
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The categories of this paper are: bayes-an
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The categories of this paper are: alg-geom
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The categories of this paper are: acc-phys
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin