Degenerate curves and harmonic analysis
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Publication:3490438
DOI10.1017/S0305004100068973zbMath0708.42011MaRDI QIDQ3490438
Publication date: 1990
Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)
Related Items (31)
Universal \(L^p\) improving for averages along polynomial curves in low dimensions ⋮ Loomis-Whitney inequalities in Heisenberg groups ⋮ Convolution estimates related to space curves ⋮ Summability of oscillatory integrals over parameters and the boundedness problem for Fourier transforms on curves ⋮ Endpoint \(L^p \rightarrow L^q\) bounds for integration along certain polynomial curves ⋮ Strichartz estimates for mixed homogeneous surfaces in three dimensions ⋮ Convolution estimates for measures on some complex curves ⋮ Affine dimension: measuring the vestiges of curvature. ⋮ Uniform \(L_x^p - L_{x, r}^q\) improving for dilated averages over polynomial curves ⋮ Uniform estimates for the X-ray transform restricted to polynomial curves ⋮ Uniform sublevel Radon-like inequalities ⋮ A convolution estimate for a measure on a curve in $\mathbb {R}^4$ ⋮ Restriction estimates for space curves with respect to general measures ⋮ RESTRICTION OF FOURIER TRANSFORMS TO CURVES II: SOME CLASSES WITH VANISHING TORSION ⋮ Restriction of the Fourier transform to some oscillating curves ⋮ Fourier restriction for affine arclength measures in the plane ⋮ Fourier restriction, polynomial curves and a geometric inequality ⋮ Restriction of the Fourier transform to some complex curves ⋮ Uniform Lorentz norm estimates for convolution operators ⋮ Convolution and restriction estimates for measures on curves in ℝ² ⋮ Capacity and potentials on curves ⋮ An affine-invariant inequality for rational functions and applications in harmonic analysis ⋮ Uniform estimates for damped Radon transform on the plane ⋮ Some convolution inequalities and their applications ⋮ Convolution with measures on flat curves in low dimensions ⋮ Weighted restriction theorems for space curves ⋮ The Lp-Lp mapping properties of convolution operators with the affine arclength measure on space curves ⋮ Restriction for homogeneous polynomial surfaces in $\mathbb {R}^3$ ⋮ On the Oberlin affine curvature condition ⋮ Uniform estimates for the local restriction of the Fourier transform to curves ⋮ AN AFFINE FOURIER RESTRICTION THEOREM FOR CONICAL SURFACES
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