Remarks on estimates for the adjoint restriction operator to curves over the sphere

DOI10.1007/S00041-019-09704-XzbMath1473.42010arXiv1810.08081OpenAlexW2999981324WikidataQ126384041 ScholiaQ126384041MaRDI QIDQ2288430

Seheon Ham, Sanghyuk Lee, Hyerim Ko

Publication date: 17 January 2020

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.08081

zbMATH Keywords

Fourier restriction theoremgeneral measurefinite type curves

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)

Cites Work

• Unnamed Item
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• Summability of oscillatory integrals over parameters and the boundedness problem for Fourier transforms on curves
• Restriction of the Fourier transform to some oscillating curves
• Restrictions of Fourier transforms to curves
• Average decay estimates for Fourier transforms of measures supported on curves
• Trigonometric sums in number theory and analysis. Transl. from the Russian
• Extensions of the Stein-Tomas theorem
• A Stein conjecture for the circle
• Restriction estimates for space curves with respect to general measures
• Inequalities for strongly singular convolution operators
• Oscillatory integrals and multipliers on FL\(^p\)
• Fourier restriction for affine arclength measures in the plane
• Uniform estimates for Fourier restriction to polynomial curves in ℝd
• Uniform estimates for the local restriction of the Fourier transform to curves
• Restriction of Fourier transforms to curves: An endpoint estimate with affine arclength measure
• RESTRICTION OF FOURIER TRANSFORMS TO CURVES II: SOME CLASSES WITH VANISHING TORSION
• Fourier restriction to polynomial curves I: a geometric inequality
• The Fourier extension operator on large spheres and related oscillatory integrals
• Restriction of Fourier transforms to curves and related oscillatory integrals
• On the Restriction of The Fourier Transform to Curves: Endpoint Results and The Degenerate Case
• Fourier restriction theorems for curves with affine and Euclidean arclengths
• A Sharp Restriction Theorem for Degenerate Curves in R 2
• Fourier restriction theorems for degenerate curves
• A restriction theorem for space curves
• Estimates for an oscillatory integral operator related to restriction to space curves
• A note on Restriction of the Fourier Transform to Spheres
• On Fourier coefficients and transforms of functions of two variables
• Fourier multipliers and estimates of the Fourier transform of measures carried by smooth curves in R²
• Salem sets and restriction properties of Fourier transforms

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