Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sparse domination on non-homogeneous spaces with an application to $A_p$
  weights   We extend Lerner's recent approach to sparse domination of
Calder\'on--Zygmund operators to upper doubling (but not necessarily doubling),
geometrically doubling metric measure spaces. Our domination theorem is
different from the one obtained recently by Conde-Alonso and Parcet and yields
a weighted estimate with the sharp power $\max(1,1/(p-1))$ of the $A_p$
characteristic of the weight.

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The categories of this paper are: chem-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: cond-mat
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The categories of this paper are: q-bio
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The categories of this paper are: alg-geom
1
The categories of this paper are: cs
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
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The categories of this paper are: math-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: funct-an
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The categories of this paper are: supr-con
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The categories of this paper are: econ