Mathematical Research Letters

Volume 29 (2022)

Number 3

The multilinear restriction estimate: almost optimality and localization

Pages: 599 – 630



Ioan Bejenaru (Department of Mathematics, University of California at San Diego, La Jolla, Calif., U.S.A.)


The first result in this paper provides a very general $\epsilon$-removal argument for the multilinear restriction estimate. The second result provides a refinement of the multilinear restriction estimate in the case when some terms have appropriate localization properties; this generalizes a prior result of the author in [1].

Part of this work was supported by NSF grant DMS-1900603.

Received 2 January 2020

Accepted 23 June 2020

Published 30 November 2022