Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sharp exponential integrability for critical Riesz potentials and
  fractional Laplacians on R^n   We derive sharp Adams inequalities for the Riesz and more general Riesz-like
potentials on the whole of R^n. As a consequence, we obtain sharp
Moser-Trudinger inequalities for the critical Sobolev spaces W^{a,n/a}(R^n),
0<a<n. These inequalities involve fractional Laplacians, higher order
gradients, general homogeneous elliptic operators with constant coefficients,
and general trace type Borel measures.

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The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
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The categories of this paper are: atom-ph
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
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The categories of this paper are: stat
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The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
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The categories of this paper are: adap-org
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: eess
25
The categories of this paper are: patt-sol