A note on the cone restriction conjecture

DOI10.1090/S0002-9939-2011-11076-1zbMath1250.42052WikidataQ123151875 ScholiaQ123151875MaRDI QIDQ2884429

Chang Xing Miao, Jun Yong Zhang, Ji Qiang Zheng

Publication date: 29 May 2012

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

zbMATH Keywords

spherical harmonicslinear adjoint restriction estimate

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20)

Related Items (8)

Dispersive estimates for 2D-wave equations with critical potentials ⋮ Restriction estimates in a conical singular space: wave equation ⋮ Linear adjoint restriction estimates for paraboloid ⋮ Radial multipliers and restriction to surfaces of the Fourier transform in mixed-norm spaces ⋮ The Stein-Tomas inequality under the effect of symmetries ⋮ Restriction estimates in a conical singular space: Schrödinger equation ⋮ Strichartz estimates and wave equation in a conic singular space ⋮ Linear Restriction Estimates for Schrödinger Equation on Metric Cones

Cites Work

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• Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
• A sharp bilinear restriction estimate for paraboloids
• A sharp bilinear cone restriction estimate
• The Bochner-Riesz conjecture implies the restriction conjecture
• Sharp linear and bilinear restriction estimates for paraboloids in the cylindrically symmetric case
• A note on the cone restriction conjecture in the cylindrically symmetric case
• Slicing surfaces and the Fourier restriction conjecture
• 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

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