\(L^p\) estimates for the X-ray transform
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Publication:1051205
zbMath0514.44001MaRDI QIDQ1051205
Publication date: 1983
Published in: Illinois Journal of Mathematics (Search for Journal in Brave)
Special integral transforms (Legendre, Hilbert, etc.) (44A15) Harmonic analysis on homogeneous spaces (43A85) Integral operators (45P05)
Related Items (20)
On the Origins, Nature, and Impact of Bourgain’s Discretized Sum-Product Theorem ⋮ Restriction and Kakeya phenomena for finite fields ⋮ Linear operators, Fourier integral operators and \(k\)-plane transforms on rearrangement-invariant quasi-Banach function spaces ⋮ Some conjectures aboutLp norms of k-plane transforms ⋮ Sharp \(L^p\)-\(L^q\) estimates for generalized \(k\)-plane transforms ⋮ Kakeya inequalities by maximal functions in Hardy spaces ⋮ Maximal operators related to the Radon transform and the Calderon-Zygmund method of rotations ⋮ Integrability of orthogonal projections, and applications to Furstenberg sets ⋮ Classifications of positive solutions to an integral system involving the multilinear fractional integral inequality ⋮ Norm estimates for \(k\)-plane transforms and geometric inequalities ⋮ Composition of some singular Fourier integral operators and estimates for restricted X-ray transforms ⋮ On instability of the Nikodym maximal function bounds over Riemannian manifolds ⋮ Unnamed Item ⋮ Estimates for the \(X\)-ray transform restricted to 2-manifolds ⋮ Two bounds for the X-ray transform ⋮ New bounds for Kakeya problems ⋮ A bilinear approach to the restriction and Kakeya conjectures ⋮ From harmonic analysis to arithmetic combinatorics ⋮ On Kakeya-Nikodym type maximal inequalities ⋮ Uniqueness of extremizers for an endpoint inequality of the \(k\)-plane transform
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