Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The capacity associated to signed Riesz kernels, and Wolff potentials   There is a natural capacity associated to any vector valued Riesz kernel of a
given homogeneity. If we are in the plane and the kernel is the Cauchy kernel,
then this capacity is analytic capacity. Our main result states that if the
homogeneity of the kernel is negative and larger than minus one, then the
capacity is comparable to one of the well studied capacities of non-linear
potential theory.

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The categories of this paper are: nucl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: stat
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
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The categories of this paper are: plasm-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-th
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The categories of this paper are: eess
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ph
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The categories of this paper are: econ
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The categories of this paper are: astro-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: patt-sol