Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Critical and subcritical fractional Trudinger-Moser type inequalities on
  $\mathbb{R}$   In this paper, we are concerned with the critical and subcritical
Trudinger-Moser type inequalities for functions in a fractional Sobolev space
$H^{1/2,2}$ on the whole real line. We prove the relation between two
inequalities and discuss the attainability of the suprema.

4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
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The categories of this paper are: gr-qc
18
The categories of this paper are: econ
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg