Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Higher-order multilinear Poincar\'e and Sobolev inequalities in Carnot
  groups   The notions of higher-order weighted multilinear Poincar\'e and Sobolev
inequalities in Carnot groups are introduced. As an application, weighted
Leibnitz-type rules in Campanato-Morrey spaces are established.

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The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
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The categories of this paper are: cmp-lg
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The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th