Convex curves, Radon transforms and convolution operators defined by singular measures

DOI10.1090/S0002-9939-00-05751-8zbMath0965.42007MaRDI QIDQ2706589

Fulvio Ricci, Giancarlo Travaglini

Publication date: 20 March 2001

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

zbMATH Keywords

Radon transformsconvolution operatorssingular measures

Mathematics Subject Classification ID

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

Related Items (8)

Sharp \(L^p\)-\(L^q\) estimates for generalized \(k\)-plane transforms ⋮ Weighted norm inequalities for $k$-plane transforms ⋮ Average decay estimates for Fourier transforms of measures supported on curves ⋮ A note on singular integral ⋮ L p Mixed-norm estimates for convolution operator defined by singular measures ⋮ Spherical means and the restriction phenomenon ⋮ Planar convex bodies, Fourier transform, lattice points, and irregularities of distribution ⋮ 𝐿^{𝑝}-𝐿^{𝑝’} estimates for overdetermined Radon transforms

Cites Work

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• Average decay of Fourier transforms and geometry of convex sets
• Harmonic analysis on nilpotent groups and singular integrals. III: Fractional integration along manifolds
• Multilinear proofs for two theorems on circular averages
• A Lattice-Point Problem
• Convolutions with Kernels Having Singularities on a Sphere
• Spherical means and the restriction phenomenon

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