Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Compact composition operators with non-linear symbols on the $H^2$ space
  of Dirichlet series   We investigate the compactness of composition operators on the Hardy space of
Dirichlet series induced by a map $\varphi(s)=c_0s+\varphi_0(s)$, where
$\varphi_0$ is a Dirichlet polynomial. Our results depend heavily on the
characteristic $c_0$ of $\varphi$ and, when $c_0=0$, on both the degree of
$\varphi_0$ and its local behaviour near a boundary point. We also study the
approximation numbers for some of these operators. Our methods involve
geometric estimates of Carleson measures and tools from differential geometry.

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The categories of this paper are: hep-lat
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The categories of this paper are: cmp-lg
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The categories of this paper are: astro-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: chem-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
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The categories of this paper are: physics
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The categories of this paper are: quant-ph
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
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The categories of this paper are: cs
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The categories of this paper are: funct-an
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The categories of this paper are: stat
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The categories of this paper are: econ