Discrete Restriction for (x,x3) and Related Topics

Hughes, Kevin; Wooley, Trevor D

Abstract

In this short note we prove an ℓ2 to L10 estimate for the extension (aka adjoint restriction) operator associated to the discrete curve (X,X3). This is interesting, in part, because Demeter has shown that the corresponding putative decoupling inequality fails.

Citation

Hughes, K., & Wooley, T. D. (2022). Discrete Restriction for (x,x3) and Related Topics. International Mathematics Research Notices, 2022(20), 15612-15631. https://doi.org/10.1093/imrn/rnab113

• Journal Article Type: Article
• Acceptance Date: Apr 8, 2021
• Online Publication Date: Jul 2, 2021
• Publication Date: Oct 16, 2022
• Deposit Date: Jan 12, 2024
• Publicly Available Date: Jan 12, 2024
• Journal: International Mathematics Research Notices
• Print ISSN: 1073-7928
• Electronic ISSN: 1687-0247
• Publisher: Oxford University Press
• Peer Reviewed: Peer Reviewed
• Volume: 2022
• Issue: 20
• Pages: 15612-15631
• DOI: https://doi.org/10.1093/imrn/rnab113
• Keywords: General Mathematics: discrete restriction estimates, KdV equations
• Public URL: http://researchrepository.napier.ac.uk/Output/3222974