A note on the cone restriction conjecture in the cylindrically symmetric case

DOI10.1090/S0002-9939-08-09668-8zbMath1198.42009arXiv0710.1466WikidataQ122956152 ScholiaQ122956152MaRDI QIDQ3600592

Shuanglin Shao

Publication date: 5 February 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.1466

zbMATH Keywords

linear adjoint restriction estimatecone restriction conjecturecylindrically symmetric functions

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Wave equation (35L05)

Related Items

A note on the cone restriction conjecture, Restriction estimates in a conical singular space: wave equation, Remark on the Strichartz estimates in the radial case, Improved Strichartz estimates for a class of dispersive equations in the radial case and their applications to nonlinear Schrödinger and wave equations, Linear Restriction Estimates for Schrödinger Equation on Metric Cones

Cites Work

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• On the Restriction of the Fourier Transform to a Conical Surface
• A bilinear approach to the restriction and Kakeya conjectures
• Endpoint bilinear restriction theorems for the cone, and some sharp null form estimates