Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weighted estimates for the bilinear maximal operator on filtered measure
  spaces   Assuming the bilinear reverse Holder's condition, we character weighted
inequalities for the bilinear maximal operator on filtered measure spaces. We
also obtain Hytonen-Perez type weighted estimates for the bilinear maximal
operator. Our approaches are mainly based on the new construction of bilinear
versions of principal sets and the new Carleson embedding theorem on filtered
measure spaces. In particular, we find a new property of the construction and
we call it the conditional sparsity of principal sets.

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The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: physics
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: stat
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The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: cond-mat
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The categories of this paper are: econ
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The categories of this paper are: math-ph
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The categories of this paper are: q-alg