Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Riesz potential and maximal function for Dunkl transform   We study weighted $(L^p, L^q)$-boundedness properties of Riesz potentials and
fractional maximal functions for the Dunkl transform. In particular, we obtain
the weighted Hardy-Littlewood-Sobolev type inequality and weighted week $(L^1,
L^q)$ estimate. We find a sharp constant in the weighted $L^p$-inequality,
generalizing the results of W. Beckner and S. Samko.

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The categories of this paper are: chem-ph
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The categories of this paper are: q-alg
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The categories of this paper are: astro-ph
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The categories of this paper are: math-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: supr-con
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The categories of this paper are: bayes-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: comp-gas
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The categories of this paper are: eess
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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
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The categories of this paper are: ao-sci
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The categories of this paper are: cond-mat
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The categories of this paper are: chao-dyn
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The categories of this paper are: plasm-ph