Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Boundedness of bilinear multipliers whose symbols have a narrow support   This work is devoted to studying the boundedness on Lebesgue spaces of
bilinear multipliers on $\R$ whose symbol is narrowly supported around a curve
(in the frequency plane). We are looking for the optimal decay rate (depending
on the width of this support) for exponents satisfying a sub-H\"older scaling.
As expected, the geometry of the curve plays an important role, which is
described. This has applications for the bilinear Bochner-Riesz problem (in
particular, boundedness of multipliers whose symbol is the characteristic
function of a set), as well as for the bilinear restriction-extension problem.

28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
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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: comp-gas
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The categories of this paper are: econ
5
The categories of this paper are: gr-qc
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The categories of this paper are: nlin
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The categories of this paper are: nucl-ex
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The categories of this paper are: stat
8
The categories of this paper are: hep-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol