Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pseudodifferential Operators, Rellich-Kondrachov Theorem and
  Hardy-Sobolev Spaces   We will present versions of the Rellich-Kondrachov theorem for
pseudo-differential operators acting on localizable Hardy spaces. One of the
techniques includes boundedness properties for pseudodifferential operators
with symbols in the H\"ormander class, that might be of interest in his own
right, extending results previously obtained by Goldberg, Alvarez and Hounie,
Taylor - among others. As application, we obtain compact embedding results for
distributions in nonhomogeneous localizable Hardy-Sobolev spaces.

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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: cmp-lg
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The categories of this paper are: astro-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: cs
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: q-alg
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The categories of this paper are: nlin
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: gr-qc
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The categories of this paper are: funct-an
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The categories of this paper are: acc-phys