"A New Proof of an Inequality of Bourgain" by Polona Durcik and Joris Roos
 

Document Type

Article

Publication Date

11-18-2024

Abstract

The purpose of this short note is to demonstrate how some techniques from additive combinatorics recently developed by Peluse and Peluse-Prendiville can be applied to give an alternative proof for a trilinear smoothing inequality originally due to Bourgain.

Comments

This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Mathematical Research Letters, volume 31, issue 4, in 2024 following peer review. This article may not exactly replicate the final published version. The definitive publisher-authenticated version is available online at https://doi.org/10.4310/MRL.241118235003.

Peer Reviewed

1

Copyright

International Press

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