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 |
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Pages (from-to) | 443-457 |
Number of pages | 15 |
Journal | Mathematical research letters |
Volume | 12 |
Issue number | 4 |
Publication status | Published - Jul 2005 |
Keywords / Materials (for Non-textual outputs)
- multilinear estimates
- Fourier extension operator
- RESTRICTION
- CURVES
- R-3