Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multi-linear multipliers associated to simplexes of arbitrary length   In this article we prove that the $n$-linear operator whose symbol is the
characteristic function of the simplex $\Delta_n = \xi_1 < ... < \xi_n$ is
bounded from $L^2 \times ... \times L^2$ into $L^{2/n}$, generalizing in this
way our previous work on the "bi-est" operator (which corresponds to the case
$n=3$) as well as Lacey-Thiele theorem on the bi-linear Hilbert transform
(which corresponds to the case $n=2$).

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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
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The categories of this paper are: stat
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The categories of this paper are: hep-lat
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The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
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The categories of this paper are: atom-ph
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The categories of this paper are: gr-qc
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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: alg-geom
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The categories of this paper are: nucl-th
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The categories of this paper are: econ
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The categories of this paper are: cs
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The categories of this paper are: hep-ph
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The categories of this paper are: astro-ph