A trilinear restriction problem for the paraboloid in ℝ³

DOI10.1090/S1079-6762-04-00134-9zbMath1066.42008OpenAlexW1926033893MaRDI QIDQ4680998

Jonathan M. Bennett

Publication date: 14 June 2005

Published in: Electronic Research Announcements of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/223428

zbMATH Keywords

multilinear estimatesFourier extension operatorLoomis-Whitney inequality

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Inequalities for sums, series and integrals (26D15)

Related Items (2)

On the multilinear restriction and Kakeya conjectures ⋮ Decoupling inequality for paraboloid under shell type restriction and its application to the periodic Zakharov system

Cites Work

• Unnamed Item
• Restriction theorems and maximal operators related to oscillatory integrals in \(\mathbf R^3\)
• A nonlinear generalisation of the Loomis-Whitney inequality and applications
• A bilinear approach to the restriction and Kakeya conjectures
• A MULTILINEAR EXTENSION INEQUALITY IN $\mathbb{R}^{n}$

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