Restriction of Fourier transforms to curves: An endpoint estimate with affine arclength measure

DOI10.1515/CRELLE-2012-0042zbMath1290.42024arXiv1109.1300OpenAlexW2975351083MaRDI QIDQ2856659

Jong-Guk Bak, Daniel M. Oberlin, Andreas Seeger

Publication date: 30 October 2013

Published in: crll (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.1300

zbMATH Keywords

Fourier transformFourier restriction operatoraffine arclength measureendpoint estimate

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Interpolation between normed linear spaces (46B70)

Related Items (10)

Bilinear restriction estimates for surfaces of codimension bigger than \(1\) ⋮ Convolution estimates for measures on some complex curves ⋮ Weierstrass polynomials in estimates of oscillatory integrals ⋮ Uniform estimates for the X-ray transform restricted to polynomial curves ⋮ Restriction estimates for space curves with respect to general measures ⋮ Restriction of the Fourier transform to some oscillating curves ⋮ Restriction estimates to complex hypersurfaces ⋮ Averaged decay estimates for Fourier transforms of measures over curves with nonvanishing torsion ⋮ Remarks on estimates for the adjoint restriction operator to curves over the sphere ⋮ On the Oberlin affine curvature condition

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