538 citations
- Centre National de la Recherche ScientifiqueFR7 papers
- Royal ObservatoryGB7 papers
- UK Astronomy Technology CentreGB7 papers
- Maxwell Institute for Mathematical SciencesGB6 papers
- Durham UniversityGB5 papers
- Laboratoire de Mathématiques d'OrsayFR4 papers
- Leiden UniversityNL4 papers
- Pennsylvania State UniversityUS4 papers
- Université Jean MonnetFR4 papers
- University of BirminghamGB4 papers
- European Southern ObservatoryCL3 papers
- Institut d'Astrophysique de ParisFR3 papers
4 papers · 1 filter
Heat-flow monotonicity of Strichartz norms
Jonathan Bennett, Neal Bez, Anthony Carbery +1
Most notably we prove that for the classical Strichartz norm associated to the free Schrödinger equation i…
Universal L^p improving for averages along polynomial curves in low dimensions
Spyridon Dendrinos, Norberto Laghi, James Wright
We prove sharp estimates for averaging operators along general polynomial curves in two and three dimensions. These operators are translation-invariant, given by convolut…
On the Multilinear Restriction and Kakeya conjectures
Jonathan Bennett, Anthony Carbery, Terence Tao
We prove -linear analogues of the classical restriction and Kakeya conjectures in . Our approach involves obtaining monotonicity formulae pertaining to a certain evolution…
Finite bounds for Holder-Brascamp-Lieb multilinear inequalities
Jonathan Bennett, Anthony Carbery, Michael Christ +1
A criterion is established for the validity of multilinear inequalities of a class considered by Brascamp and Lieb, generalizing well-known inequalities of Holder, Young, and Loomi…