Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Decompositions with atoms and molecules for variable exponent
  Triebel-Lizorkin-Morrey spaces   We continue the study of the variable exponent Morreyfied Triebel-Lizorkin
spaces introduced in a previous paper. Here we give characterizations by means
of atoms and molecules. We also show that in some cases the number of zero
moments needed for molecules, in order that an infinite linear combination of
them (with coefficients in a natural sequence space) converges in the space of
tempered distributions, is much smaller than what is usually required. We also
establish a Sobolev type theorem for related sequence spaces, which might have
independent interest.

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The categories of this paper are: nlin
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The categories of this paper are: supr-con
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ex
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The categories of this paper are: physics
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The categories of this paper are: hep-ph
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The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: cond-mat
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The categories of this paper are: astro-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: cs
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The categories of this paper are: comp-gas