Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some trace Hardy type inequalities and trace Hardy-Sobolev-Maz'ya type
  inequalities   We prove a trace Hardy type inequality with the best constant on the
polyhedral convex cones which generalizes recent results of Alvino et al. and
of Tzirakis on the upper half space. We also prove some trace
Hardy-Sobolev-Maz'ya type inequalities which generalize the recent results of
Filippas et al.. In applications, we derive some Hardy type inequalities and
Hardy-Sobolev-Maz'ya type inequalities for fractional Laplacian. Finally, we
prove the logarithmic Sobolev trace inequalities and logarithmic Hardy trace
inequalities on the upper half spaces. The best constants in these inequalities
are explicitly computed in the radial case.

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The categories of this paper are: atom-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ex
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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: mtrl-th
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The categories of this paper are: physics
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The categories of this paper are: q-bio
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The categories of this paper are: chem-ph
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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: funct-an
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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys