Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weighted composition operators on spaces of analytic functions on the
  complex half-plane   In this paper we will show how the boundedness condition for the weighted
composition operators on a class of spaces of analytic functions on the open
right complex half-plane called Zen spaces (which include the Hardy spaces and
weighted Bergman spaces) can be stated in terms of Carleson measures and
Bergman kernels. In Hilbertian setting we will also show how the norms of
\emph{causal} weighted composition operators on these spaces are related to
each other and use it to show that an \emph{(unweighted) composition operator}
$C_\varphi$ is bounded on a Zen space if and only if $\varphi$ has a finite
angular derivative at infinity. Finally, we will show that there is no compact
composition operator on Zen spaces.

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The categories of this paper are: gr-qc
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The categories of this paper are: astro-ph
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The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
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The categories of this paper are: ao-sci
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The categories of this paper are: supr-con
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The categories of this paper are: physics
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The categories of this paper are: hep-ph
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys