Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A convolution estimate for two-dimensional hypersurfaces   Given three transversal and sufficiently regular hypersurfaces in R^3 it
follows from work of Bennett-Carbery-Wright that the convolution of two L^2
functions supported of the first and second hypersurface, respectively, can be
restricted to an L^2 function on the third hypersurface, which can be
considered as a nonlinear version of the Loomis-Whitney inequality. We
generalize this result to a class of C^{1,beta} hypersurfaces in R^3, under
scaleable assumptions. The resulting uniform L^2 estimate has applications to
nonlinear dispersive equations.

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The categories of this paper are: acc-phys
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The categories of this paper are: q-alg
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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
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The categories of this paper are: bayes-an
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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: nlin
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The categories of this paper are: supr-con
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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: comp-gas
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The categories of this paper are: q-bio
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The categories of this paper are: math-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: eess