Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Potential and Sobolev Spaces Related to Symmetrized Jacobi Expansions   We apply a symmetrization procedure to the setting of Jacobi expansions and
study potential spaces in the resulting situation. We prove that the potential
spaces of integer orders are isomorphic to suitably defined Sobolev spaces.
Among further results, we obtain a fractional square function characterization,
structural theorems and Sobolev type embedding theorems for these potential
spaces.

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The categories of this paper are: nucl-th
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The categories of this paper are: q-bio
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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: quant-ph
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The categories of this paper are: econ
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
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The categories of this paper are: q-alg
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The categories of this paper are: ao-sci
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The categories of this paper are: math-ph
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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: astro-ph