A mixed norm estimate for the \(X\)-ray transform

DOI10.4171/RMI/245zbMath0927.44002OpenAlexW2093968575MaRDI QIDQ1283343

Thomas H. Wolff

Publication date: 13 December 1999

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/39560

zbMATH Keywords

Radon transformnorm estimate\(X\)-ray transform

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Radon transform (44A12)

Related Items (18)

Restriction and Kakeya phenomena for finite fields ⋮ 𝐿^{𝑝} improving bounds for averages along curves ⋮ Weighted norm inequalities for $k$-plane transforms ⋮ Integrability of orthogonal projections, and applications to Furstenberg sets ⋮ Mixed norm estimate for Radon transform on weighted \(L^p\) spaces ⋮ Averaging lemmas and the X-ray transform ⋮ Bounds on oscillatory integral operators based on multilinear estimates ⋮ Estimates for the kinetic transport equation in hyperbolic Sobolev spaces ⋮ Weighted estimates for the \(k\)-plane transform of radial functions on Euclidean spaces ⋮ Estimates for the \(X\)-ray transform restricted to 2-manifolds ⋮ Improved bounds for Bochner-Riesz and maximal Bochner-Riesz operators ⋮ Two bounds for the X-ray transform ⋮ A real space method for averaging lemmas ⋮ An improved bound on the Hausdorff dimension of Besicovitch sets in ℝ³ ⋮ Mixed norm estimates for a restricted X-ray transform. ⋮ New bounds for Kakeya problems ⋮ A bilinear approach to the restriction and Kakeya conjectures ⋮ From harmonic analysis to arithmetic combinatorics

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