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20052026
most citedConvolutions of singular measures and applications to the Zakharov system

87 citations · 515 across the 26 of their papers we have counts for

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7 papers · 1 filter

math.CA2026

The -linear restriction estimate in with degenerate curvature

Ioan Bejenaru, Tiklung Chan

We revisit the -linear restriction estimate in proved by the first author in \cite{Be-6} and refine the result in the case when the curvature assumptions cont…

math.CA2020★ 2 cited

The almost optimal multilinear restriction estimate for hypersurfaces with curvature: the case of hypersurfaces in R^n

Ioan Bejenaru

In this paper we establish the optimal multilinear restriction estimate for n-1 hypersurfaces with some curvature, where is the dimension of the underlying space. The result is…

math.CA2019

The multilinear restriction estimate: almost optimality and localization

Ioan Bejenaru

The first result in this paper provides a very general -removal argument for the multilinear restriction estimate. The second result provides a refinement of the multilinear res…

math.CA2016★ 18 cited

Optimal multilinear restriction estimates for a class of surfaces with curvature

Ioan Bejenaru

Bennett, Carbery and Tao considered the -linear restriction estimate in and established the near optimal estimate under transversality assumpt…

math.CA2016

The optimal trilinear restriction estimate for a class of hypersurfaces with curvature

Ioan Bejenaru

Bennett, Carbery and Tao established nearly optimal trilinear restriction estimates in under transversality assumptions only. In this paper we show that th…

math.CA2016

The multilinear restriction estimate: a short proof and a refinement

Ioan Bejenaru

We provide an alternative and self contained proof of the main result of Bennett, Carbery, Tao regarding the multilinear restriction estimate. The approach is inspired by the recen…