Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Estimates for singular integrals on homogeneous groups   We consider singular integral operators and maximal singular integral
operators with rough kernels on homogeneous groups. We prove certain estimates
for the operators that imply $L^p$ boundedness of them by an extrapolation
argument under a sharp condition for the kernels. Also, we prove some weighted
$L^p$ inequalities for the operators.

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The categories of this paper are: comp-gas
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
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The categories of this paper are: q-alg
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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: econ
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The categories of this paper are: adap-org
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The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: nlin
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-th