Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Boundedness of pseudo-differential operators in subelliptic Sobolev and
  Besov spaces on compact Lie groups   In this paper we investigate the Besov spaces on compact Lie groups in a
subelliptic setting, that is, associated with a family of vector fields,
satisfying the H\"ormander condition, and their corresponding sub-Laplacian.
Embedding properties between subelliptic Besov spaces and Besov spaces
associated to the Laplacian on the group are proved. We link the description of
subelliptic Sobolev spaces with the matrix-valued quantisation procedure of
pseudo-differential operators in order to provide subelliptic Sobolev and Besov
estimates for operators in the H\"ormander classes. Interpolation properties
between Besov spaces and Triebel-Lizorkin spaces are also investigated.

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The categories of this paper are: hep-lat
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The categories of this paper are: gr-qc
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The categories of this paper are: eess
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The categories of this paper are: nlin
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The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
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The categories of this paper are: physics
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The categories of this paper are: q-alg
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The categories of this paper are: adap-org
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The categories of this paper are: cmp-lg
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The categories of this paper are: ao-sci
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The categories of this paper are: q-bio
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The categories of this paper are: funct-an
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The categories of this paper are: econ
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The categories of this paper are: comp-gas