The Almost Optimal Multilinear Restriction Estimate for Hypersurfaces with Curvature: The Case of n-1 Hypersurfaces in ℝn-Reference-Cited by-同舟云学术

The Almost Optimal Multilinear Restriction Estimate for Hypersurfaces with Curvature: The Case of n-1 Hypersurfaces in ℝn

Published:2021-08-03 Issue: Volume: Page:
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Bejenaru Ioan¹

Affiliation:

1. Department of Mathematics, University of California, San Diego, La Jolla, CA 92093, USA

Abstract

Abstract In this paper, we establish the optimal multilinear restriction estimate for $n-1$ hypersurfaces with some curvature, where $n$ is the dimension of the underlying space. The result is sharp up to the end point and the role of curvature is made precise in terms of the shape operator.

Funder

National Science Foundation

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/imrn/advance-article-pdf/doi/10.1093/imrn/rnab208/39557435/rnab208.pdf

Reference43 articles.

1. Bilinear restriction estimates for surfaces of codimension bigger than 1;Bak;Anal. PDE,2017

2. The multilinear restriction estimate: almost optimality and localization;Bejenaru

3. The multilinear restriction estimate: a short proof and a refinement;Bejenaru;Math. Res. Lett.,2017

4. Optimal bilinear restriction estimates for general hypersurfaces and the role of the shape operator;Bejenaru;Int. Math. Res. Not. IMRN,2017

5. The optimal trilinear restriction estimate for a class of hypersurfaces with curvature;Bejenaru;Adv. Math.,2017

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