Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Maximal estimates for bilinear Bochner-Riesz means   We establish improved and sharp $L^p$ estimates for the maximal bilinear
Bochner-Riesz means in all dimensions $n\geq 1$. This work extends the results
proved by Jeong and Lee \cite{JL}. We also recover the known results for the
bilinear Bochner-Riesz means. The method of proof involves a new decomposition
of the bilinear Bochner-Riesz multiplier $(1-|\xi|^2-|\eta|^2)_+^{\alpha}$ and
delicate analysis in proving $L^p$ estimates for frequency localized square
functions.

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The categories of this paper are: physics
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The categories of this paper are: comp-gas
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The categories of this paper are: atom-ph
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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: hep-lat
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The categories of this paper are: ao-sci
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The categories of this paper are: q-bio
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The categories of this paper are: adap-org
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The categories of this paper are: math-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: eess
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: supr-con