Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Obstructions for Compactness of Hankel Operators: Compactness
  Multipliers   We establish a connection between compactness of Hankel operators and
geometry of the underlying domain through compactness multipliers for the
$\overline{\partial}$-Neumann operator. In particular, we prove that any
compactness multiplier induces a compact Hankel operator. We also generalize
the notion of compactness multipliers to vector fields and matrices and then we
use this generalization to generate compact Hankel operators.

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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
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The categories of this paper are: econ
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The categories of this paper are: alg-geom
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The categories of this paper are: q-bio
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-alg
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The categories of this paper are: quant-ph
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: cond-mat
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The categories of this paper are: atom-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th