Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weighted Sobolev Inequalities in CD(0,N) spaces   In this note, we prove global weighted Sobolev inequalities on non-compact
CD(0,N) spaces satisfying a suitable growth condition, extending to possibly
non-smooth and non-Riemannian structures a previous result by V. Minerbe stated
for Riemannian manifolds with non-negative Ricci curvature. We use this result
in the context of RCD(0,N) spaces to get a uniform bound of the corresponding
weighted heat kernel via a weighted Nash inequality.

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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-th
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
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The categories of this paper are: hep-lat
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The categories of this paper are: stat
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The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: cond-mat
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The categories of this paper are: funct-an
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The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol