Average decay estimates for Fourier transforms of measures supported on curves

DOI10.1007/BF02922080zbMath1138.42006arXivmath/0607059MaRDI QIDQ881442

Luca Brandolini, Allan Greenleaf, Giancarlo Travaglini, Alexander Iosevich, Giacomo Gigante, Andreas Seeger

Publication date: 30 May 2007

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0607059

zbMATH Keywords

oscillatory integrals\(L^q\)-spacesaverage estimates

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)

Related Items (9)

Decouplings for curves and hypersurfaces with nonzero Gaussian curvature ⋮ A sharp \(L^{10}\) decoupling for the twisted cubic ⋮ Examples of measures with slow decay of the spherical means of the Fourier transform ⋮ L p Mixed-norm estimates for convolution operator defined by singular measures ⋮ Average decay of the Fourier transform of measures with applications ⋮ Restriction of the Fourier transform to some oscillating curves ⋮ Remarks on estimates for the adjoint restriction operator to curves over the sphere ⋮ Sobolev improving for averages over curves in \(\mathbb{R}^4\) ⋮ On the discrete spectrum of spin-orbit Hamiltonians with singular interactions

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