Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sparse Endpoint Estimates for Bochner-Riesz Multipliers on the Plane   For $ 0< \lambda < \frac{1}2$, let $ B_{\lambda }$ be the Bochner-Riesz
multiplier of index $ \lambda $ on the plane. Associated to this multiplier is
the critical index $1 < p_\lambda = \frac{4} {3+2 \lambda } < \frac{4}3$. We
prove a sparse bound for $ B_{\lambda }$ with indices $ (p_\lambda , q)$, where
$ p_\lambda ' < q < 4$. This is a further quantification of the endpoint weak
$L^{p_\lambda}$ boundedness of $ B_{\lambda }$, due to Seeger. Indeed, the
sparse bound immediately implies new endpoint weighted weak type estimates for
weights in $ A_1 \cap RH_{\rho }$, where $ \rho > \frac4 {4 - 3 p_{\lambda }}$.

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The categories of this paper are: physics
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The categories of this paper are: chao-dyn
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The categories of this paper are: eess
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The categories of this paper are: hep-lat
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The categories of this paper are: atom-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: q-bio
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The categories of this paper are: cond-mat
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: q-fin
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The categories of this paper are: plasm-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: math-ph
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The categories of this paper are: ao-sci