Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Failure of Nehari's Theorem for Multiplicative Hankel Forms in Schatten
  Classes   Ortega-Cerd\`a -- Seip demonstrated that there are bounded multiplicative
Hankel forms which do not arise from bounded symbols. On the other hand, when
such a form is in the Hilbert-Schmidt class $\mathcal{S}_2$, Helson showed that
it has a bounded symbol. The present work investigates forms belonging to the
Schatten classes between these two cases. It is shown that for every
$p>(1-\log{\pi}/\log{4})^{-1}$ there exist multiplicative Hankel forms in the
Schatten class $\mathcal{S}_p$ which lack bounded symbols. The lower bound on
$p$ is in a certain sense optimal when the symbol of the multiplicative Hankel
form is a product of homogeneous linear polynomials.

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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-th
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The categories of this paper are: cs
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The categories of this paper are: ao-sci
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The categories of this paper are: funct-an
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The categories of this paper are: astro-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom
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The categories of this paper are: econ
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The categories of this paper are: stat
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The categories of this paper are: adap-org
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The categories of this paper are: math-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: nlin