Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Calderon-Zygmund capacities and Wolff potentials on Cantor sets   We show that, for some Cantor sets in R^d, the capacity g_s associated to the
s-dimensional Riesz kernel x/|x|^{s+1} is comparable to the capacity
C_{2(d-s)/3,3/2} from non linear potential theory. It is an open problem to
show that, when s is positive and non integer, they are comparable for all
compact sets in R^d. We also discuss other open questions in the area.

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The categories of this paper are: math-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: physics
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The categories of this paper are: nucl-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-th
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The categories of this paper are: q-bio
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The categories of this paper are: plasm-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: ao-sci
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The categories of this paper are: acc-phys
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The categories of this paper are: q-alg
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The categories of this paper are: funct-an