A non-linear generalisation of the Loomis-Whitney inequality and applications

J  Bennett; A  Carbery; J  Wright

A non-linear generalisation of the Loomis-Whitney inequality and applications

School of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We establish a diffeomorphism-invariant generalisation of the classical Loomis-Whitney inequality in R-n. As a consequence we obtain a sharp trilinear restriction theorem for the Fourier transform in three dimensions.

Original language	English
Pages (from-to)	443-457
Number of pages	15
Journal	Mathematical research letters
Volume	12
Issue number	4
Publication status	Published - Jul 2005

Keywords

multilinear estimates
Fourier extension operator
RESTRICTION
CURVES
R-3

Cite this

@article{04ff92b3f3c44e0dbf88a611db16ef7e,

title = "A non-linear generalisation of the Loomis-Whitney inequality and applications",

abstract = "We establish a diffeomorphism-invariant generalisation of the classical Loomis-Whitney inequality in R-n. As a consequence we obtain a sharp trilinear restriction theorem for the Fourier transform in three dimensions.",

keywords = "multilinear estimates, Fourier extension operator, RESTRICTION, CURVES, R-3",

author = "J Bennett and A Carbery and J Wright",

year = "2005",

month = jul,

language = "English",

volume = "12",

pages = "443--457",

journal = "Mathematical research letters",

issn = "1073-2780",

publisher = "International Press of Boston, Inc.",

number = "4",

}

TY - JOUR

T1 - A non-linear generalisation of the Loomis-Whitney inequality and applications

AU - Bennett, J

AU - Carbery, A

AU - Wright, J

PY - 2005/7

Y1 - 2005/7

N2 - We establish a diffeomorphism-invariant generalisation of the classical Loomis-Whitney inequality in R-n. As a consequence we obtain a sharp trilinear restriction theorem for the Fourier transform in three dimensions.

AB - We establish a diffeomorphism-invariant generalisation of the classical Loomis-Whitney inequality in R-n. As a consequence we obtain a sharp trilinear restriction theorem for the Fourier transform in three dimensions.

KW - multilinear estimates

KW - Fourier extension operator

KW - RESTRICTION

KW - CURVES

KW - R-3

M3 - Article

VL - 12

SP - 443

EP - 457

JO - Mathematical research letters

JF - Mathematical research letters

SN - 1073-2780

IS - 4

ER -